Hot super-dense compact object with particular EoS |
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| Authors: | E P Tito V I Pavlov |
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| Institution: | 1.Scientific Advisory Group,Pasadena,USA;2.UFR des Mathématiques Pures et Appliquées,University Lille,Lille,France |
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| Abstract: | We show the possibility of existence of a self-gravitating spherically-symmetric equilibrium configuration for a neutral matter with neutron-like density, small mass \(M \ll M_{\odot }\), and small radius \(R \ll R_{\odot }\). We incorporate the effects of both the special and general theories of relativity. Such object may be formed in a cosmic cataclysm, perhaps an exotic one. Since the base equations of hydrostatic equilibrium are completed by the equation of state (EoS) for the matter of the object, we offer a novel, interpolating experimental data from high-energy physics, EoS which permits the existence of such compact system of finite radius. This EoS model possesses a critical state characterized by density \(\rho_{c}\) and temperature \(T_{c}\). For such an object, we derive a radial distribution for the super-dense matter in “liquid” phase using Tolman–Oppenheimer–Volkoff equations for hydrostatic equilibrium. We demonstrate that a stable configuration is indeed possible (only) for temperatures smaller than the critical one. We derive the mass-radius relation (adjusted for relativistic corrections) for such small (\(M \ll M_{\odot }\)) super-dense compact objects. The results are within the constraints established by both heavy-ion collision experiments and theoretical studies of neutron-rich matter. |
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