共查询到20条相似文献，搜索用时 343 毫秒
1.
The evolution of a low mass, close binary system driven primarily by gravitational radiation is followed with the assumption that the mass-losing component obeys an empirical mass-radius relation and continuously fills its Roche lobe. The possibility that some mass may be lost from the system carrying off various amounts of angular momentum is incorporated in the formulation. In addition, we make allowance for the uncertainty in the Landau-Lifshitz formula for gravitational quadrupole radiation. The simplicity of the formulation allows the effects of the various parameters describing the mass-radius relation, the modes of mass and angular momentum losses, etc., to be fully explored. We also discuss the condition for the Roche-lobe to be continuously filled and the possibility of estimating the minimum period. 相似文献
2.
We derive the post-Newtonian multipole ‘wobble” radiation formula taking into account self-gravity, internal stress and internal motion by means of the general multipole-moment formula of Epstein and Wagoner. Applying our formula to the Crab and Vela pulsars, we find the power to be 1.8 times that of the quadrupole radiation. The excess comes mainly from the self-gravity of the source. Thus, it is important to include the self-gravity and to use the antipole-moment formula when considering gravitational radiation from astrophysical sources. 相似文献
3.
Walter Petry 《Astrophysics and Space Science》1993,203(1):147-160
For a previously studied theory of gravitation in flat space-time a general formula of the gravitational radiation at large distances from a system of bodies is derived. The calculations are carried out through post-Newtonian order within this theory of gravitation. A more explicit formula is given for a binary system. It agrees with the result of general relativity. 相似文献
4.
本文得出了含有自引力、内应力和内部运动项的脉冲星“晃荡”的多极引力辐射公式,并用该公式估算了脉冲星Crab和Vela的引力辐射功率,最后讨论了该公式的理论意义。 相似文献
5.
William H. Lee 《Monthly notices of the Royal Astronomical Society》2001,328(2):583-600
We present the results of three-dimensional hydrodynamical simulations of the final stages of in-spiral in a black hole–neutron star binary, when the separation is comparable to the stellar radius. We use a Newtonian smooth particle hydrodynamics (SPH) code to model the evolution of the system, and take the neutron star to be a polytrope with a soft (adiabatic indices and equation of state and the black hole to be a Newtonian point mass. The only non-Newtonian effect we include is a gravitational radiation back reaction force, computed in the quadrupole approximation for point masses. We use irrotational binaries as initial conditions for our dynamical simulations, which are begun when the system is on the verge of initiating mass transfer and followed for approximately 23 ms. For all the cases studied we find that the star is disrupted on a dynamical time-scale, and forms a massive accretion torus around the spinning (Kerr) black hole. The rotation axis is clear of baryons (less than 10−5 M⊙ within 10°) to an extent that would not preclude the formation of a relativistic fireball capable of powering a cosmological gamma-ray burst. Some mass (the specific amount is sensitive to the stiffness of the equation of state) may be dynamically ejected from the system during the coalescence and could undergo r-process nucleosynthesis. We calculate the waveforms, luminosities and energy spectra of the gravitational radiation signal, and show how they reflect the global outcome of the coalescence process. 相似文献
6.
Expressions for the mass quadrupole moment tensor in the model for a wide variety of astrophysical objects are shown to be identical in form. This makes it possible to obtain analytical expressions for the gravitational radiation emitted by the sources, as well as the angular distribution, polarization dependence, and the wave forms of the radiation. 相似文献
7.
S. Capozziello M. De Laurentis I. De Martino M. Formisano D. Vernieri 《Astrophysics and Space Science》2011,333(1):29-35
We discuss the possibility to obtain an electromagnetic emission accompanying the gravitational waves emitted in the coalescence
of a compact binary system. Motivated by the existence of black hole configurations with open magnetic field lines along the
rotation axis, we consider a magnetic dipole in the system, the evolution of which leads to (i) electromagnetic radiation,
and (ii) a contribution to the gravitational radiation, the luminosity of both being evaluated. Starting from the observations
on magnetars, we impose upper limits for both the electromagnetic emission and the contribution of the magnetic dipole to
the gravitational wave emission. Adopting this model for the evolution of neutron star binaries leading to short gamma ray
bursts, we compare the correction originated by the electromagnetic field to the gravitational waves emission, finding that
they are comparable for particular values of the magnetic field and of the orbital radius of the binary system. Finally we
calculate the electromagnetic and gravitational wave energy outputs which result comparable for some values of magnetic field
and radius. 相似文献
8.
Lin-Sen Li 《Astrophysics and Space Science》2011,334(1):125-130
The influence of the gravitational radiation damping on the time of periastron passage of a binary system is examined. It
turns out that the gravitational radiation damping yields secular, periodic and mixed periodic variation of the time of periastron
passage. As a consequence, the crossing of the periastron occurs earlier (advance) at each revolution. A numerical estimation
of such an effect for eight binary stars is given. The results obtained are discussed. 相似文献
9.
Gravitational radiation from the proper quadrupole momentum variation of asymmetric anticollapsar, which is a model of white and grey holes, is considered within the framework of general relativity. In the white hole model (and grey hole at the anticollapsing stage) in extended space-time manifolds the power of gravitational radiation may attain very high values and can serve as possible source of gravitational wave bursts from Supernova 1987A as well as in Weber's experiments. The correlation between gravitational bursts and bursts of electromagnetic radiation and some features of the latter can be an evidence of such model. 相似文献
10.
In the present paper the gravitational radiation emitted from large solar energetic flares and from the Sun as a whole in the course of the generation shock waves and quadrupole oscillations of the solar body are studied. The expected densities of the energy fluxes of the gravitational radiation at the distance of the Earth are calculated. 相似文献
11.
Zachary E. Wardell 《Monthly notices of the Royal Astronomical Society》2002,334(1):149-155
A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For simplicity, all of the motion is taken to be planar. Two of the masses are viewed as a binary system, and the third mass, whose motion will be a fixed orbit around the centre-of-mass of the binary system, is viewed as a perturbation. This model aims to describe the motion of a relativistic binary pulsar that is perturbed by a third mass. Numerical integration of this simplified model reveals that, given the right initial conditions and parameters, one can see resonances. These ( m , n ) resonances are defined by the resonance condition, mω =2 n Ω , where m and n are relatively prime integers, and ω and Ω are the angular frequencies of the binary orbit and third mass orbit (around the centre-of-mass of the binary), respectively. The resonance condition consequently fixes a value for the semimajor axis of the binary orbit for the duration of the resonance; therefore the binary energy remains constant on average, while its angular momentum changes during the resonance. 相似文献
12.
Shin'ichirou Yoshida Yoshiharu Eriguchi 《Monthly notices of the Royal Astronomical Society》2000,316(4):917-922
We have investigated the influence of the r-mode instability on hypercritically accreting neutron stars in close binary systems during their common envelope phases, based on the scenario proposed by Brown et al. On the one hand, neutron stars are heated by the accreted matter at the stellar surface, but on the other hand they are also cooled down by the neutrino radiation. At the same time, the accreted matter transports its angular momentum and mass to the star. We have studied the evolution of the stellar mass, temperature and rotational frequency.
The gravitational-wave-driven instability of the r-mode oscillation strongly suppresses spinning up of the star, the final rotational frequency of which is well below the mass-shedding limit, in fact typically as low as 10 per cent of that of the mass-shedding state. On a very short time-scale the rotational frequency tends to approach a certain constant value and saturates there, as long as the amount of accreted mass does not exceed a certain limit to collapse to a black hole. This implies that a similar mechanism of gravitational radiation to that in the so-called 'Wagoner star' may work in this process. The star is spun up by accretion until the angular momentum loss by gravitational radiation balances the accretion torque. The time-integrated dimensionless strain of the radiated gravitational wave may be large enough to be detectable by gravitational wave detectors such as LIGO II. 相似文献
The gravitational-wave-driven instability of the r-mode oscillation strongly suppresses spinning up of the star, the final rotational frequency of which is well below the mass-shedding limit, in fact typically as low as 10 per cent of that of the mass-shedding state. On a very short time-scale the rotational frequency tends to approach a certain constant value and saturates there, as long as the amount of accreted mass does not exceed a certain limit to collapse to a black hole. This implies that a similar mechanism of gravitational radiation to that in the so-called 'Wagoner star' may work in this process. The star is spun up by accretion until the angular momentum loss by gravitational radiation balances the accretion torque. The time-integrated dimensionless strain of the radiated gravitational wave may be large enough to be detectable by gravitational wave detectors such as LIGO II. 相似文献
13.
We give the metric coefficients of the retarded field of non-plane gravitational waves from a multipolar source at infinity, and hence the expression for the power of the multipole radiation from a slowly rotating body. When specific calculations are made for the quadrupole radiation, we find that the radiation from a rotating body has a strong directivity. Our calculated results for the total power of two pulsars are in good agreement with previous estimates. 相似文献
14.
V. S. Imshennik 《Astronomy Letters》2008,34(6):375-388
We consider the evolution of a neutron star binary system under the effect of two factors: gravitational radiation and mass transfer between the components. Gravitational radiation is specified under the justified assumption of a circular orbit and point masses and in the approximation of a weak gravitational field at nonrelativistic velocities of the binary components. During the first evolutionary phase determined only by gravitational radiation, the neutron stars approach each other according to a simple analytical solution. The second evolutionary phase begins at the time of Roche-lobe filling by the low-mass component, when the second factor, mass transfer as a result of mass loss by the latter, also begins to affect the evolution. Under the simplest assumptions of conservative mass transfer and exact equality between the Roche-lobe radius and the radius of the low-mass neutron star, it is still possible to extend the analytical solution of the problem of evolution to its second phase. We present this complete solution at both phases and, in particular, give theoretical light curves of gravitational radiation that depend only on two dimensionless parameters (m t and δ 0). Based on the solution found, we analyze the theoretical gravitational signals from SN 1987A; this analysis includes the hypothesis about the rotational explosion mechanism for collapsing supernovae. 相似文献
15.
We used binary octahedrons to investigate the dynamical behaviors of binary asteroid systems. The mutual potential of the binary polyhedron method is derived from the fourth order to the sixth order. The irregular shapes, relative orbits, attitude angles, as well as the angular velocities of the binary asteroid system are included in the model. We investigated the relative trajectory of the secondary relative to the primary, the total angular momentum and total energy of the system, the three-axis attitude angular velocity of the binary system, as well as the angular momentum of the two components. The relative errors of the total angular momentum and the total energy indicate that the calculation has a high precision. It is found that the influence of the orbital and attitude motion of the primary from the gravitational force of the secondary is obvious. This study is useful in understanding the complicated dynamical behaviors of the binary asteroid systems discovered in our Solar system. 相似文献
16.
R. M. L. Baker 《Astronomische Nachrichten》2006,327(7):710-713
A novel formulation of the quadrupole equation for potential stellar gravitational‐wave power estimation is derived. The derivation commences with the classical Einstein quadrupole formalism and then utilizes Newton's second law to establish a simplified formulation involving the radius of gyration of a mass or system of masses involving a pair of massive stars either on orbit about one another, or otherwise separated, or a star with a dumbbell‐like or aspherical mass distribution and an impulsive force acting on the mass or masses in order to estimate the power of a gravitational wave that is generated. A numerical example, based upon the well‐known gravitational‐wave power observed to be generated by PSR 1913+16, is utilized to test the formulation. Potential applications to stellar jets, including stellar‐black‐hole produced jets, are cited as examples of the potential applications of the novel quadrupole formulation. It is suggested that the gravitational waves, generated by the applications suggested, might be detected by the proposed space‐based Laser Interferometer Space Antenna or LISA. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
17.
William H. Lee W&#;odzimierz Klu&#;niak 《Monthly notices of the Royal Astronomical Society》1999,308(3):780-794
We present a numerical study of the hydrodynamics in the final stages of inspiral of a black hole–neutron star binary, when the binary separation becomes comparable to the stellar radius. We use a Newtonian three-dimensional smooth particle hydrodynamics (SPH) code, and model the neutron star with a soft (adiabatic index Γ=5/3) polytropic equation of state, and the black hole as a Newtonian point mass that accretes matter via an absorbing boundary at the Schwarzschild radius. Our initial conditions correspond to tidally locked binaries in equilibrium, and we have explored configurations with different values of the mass ratio q M NS M BH , ranging from q =1 to 0.1. The dynamical evolution is followed for approximately 23 ms, and in every case studied here we find that the neutron star is tidally disrupted on a dynamical time-scale, forming a dense torus around the black hole that contains a few tenths of a solar mass. A nearly baryon-free axis is present in the system throughout the coalescence, and only modest beaming of a fireball that could give rise to a gamma-ray burst would be sufficient to avoid excessive baryon contamination. We find that some mass (of the order of 10−3 –10−2 M⊙ ) may be dynamically ejected from the system, and could thus contribute substantially to the amount of observed r-process material in the galaxy. We calculate the gravitational radiation waveforms and luminosity emitted during the coalescence in the quadrupole approximation. 相似文献
18.
Olindo Zanotti José A. Font Luciano Rezzolla Pedro J. Montero 《Monthly notices of the Royal Astronomical Society》2005,356(4):1371-1382
We present a comprehensive numerical study of the dynamics of relativistic axisymmetric accretion tori with a power-law distribution of specific angular momentum orbiting in the background space–time of a Kerr black hole. By combining general relativistic hydrodynamics simulations with a linear perturbative approach we investigate the main dynamical properties of these objects over a large parameter space. The astrophysical implications of our results extend and improve two interesting results that have been recently reported in the literature. First, the induced quasi-periodic variation of the mass quadrupole moment makes relativistic tori of nuclear matter densities, as those formed during the last stages of binary neutron star mergers, promising sources of gravitational radiation, potentially detectable by interferometric instruments. Secondly, p-mode oscillations in relativistic tori of low rest-mass densities could be used to explain high-frequency quasi-periodic oscillations observed in X-ray binaries containing a black hole candidate under conditions more generic than those considered so far. 相似文献
19.
R. Mankin 《Astronomische Nachrichten》1982,303(3):201-210
By means of the perturbation expansion scheme with respect to the gravitational constant we give a retarded solution of the covariant wave equation for the potential of a free massless scalar field in an axially symmetric gravitational background field of a point mass with a quadrupole moment. For the zeroth order solution we choose a spherical symmetric wave as an ansatz. Our results show that far from the source the spherical symmetric second order wave tail is effectively generated by the loss of mass, caused by gravitational radiation, and that all the other second order tail terms are compensable by first order multipole moments corresponding to a change of the boundary conditions. 相似文献
20.
G. W. Collins II 《Astrophysics and Space Science》1980,73(2):355-378
The effects of formation of a binary black hole in a dense star cluster are found to have significant effects on the dynamics of the cluster. Tidal destruction of stars captured into bound orbits during the formation of the black hole binary provide a sizeable source of very high temperature thermal radiation as well as a source of radially outward moving clouds of gas. The efficiency of subsequently accreted matter onto the binary components as an energy source is investigated and suggestive evolutionary models of the dynamics of the binary system are presented. Lifetimes of the system are shown to be compatible with contemporary estimates. It is suggested that the high-density cluster core provides a suitable environment for the operation of a number of models for the core of active galactic nuclei. 相似文献