Stability of strange dwarfs. I. Static criterion for stability. Statement of the problem |
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| Authors: | Yu L Vartanyan G S Hajyan A K Grigoryan T R Sarkisyan |
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| Institution: | (1) Erevan State University, Erevan, Armenia |
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| Abstract: | This is a study of the stability of strange dwarfs, superdense stars with a small quark core (M
0core
/M
⨀ < 0.017) and an extended crust consisting of atomic nuclei and a degenerate electron gas where the density may be two orders
of magnitude greater than the maximum density for white dwarfs. For a given equation of state, the mass, total number of baryons,
and radius of strange dwarfs are uniquely determined by the central energy density ρ
c
and the energy density ρ
tr
of the crust at the surface of the quark core. Thus, the entire range of variation of ρ
c
and ρ
tr
must be taken into account in studying the stability of these configurations. This can be done by examining a series of configurations
with a fixed rest mass M
0 (total baryon number) of the quark core and different masses of the crust. In each series, ρ
tr
ranges from the value for white dwarfs to ρ
drip
= 4.3∙1011 g/cm3, at which free neutrons are created in the crust. According to the static criterion for stability, stability is lost in an
individual series when the mass of the strange dwarf reaches a maximum as a function of ρ
tr
.
Translated from Astrofizika, Vol. 52, No. 2, pp. 325–332 (May 2009). |
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| Keywords: | strange stars strange dwarfs stability |
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