On the radial stability of ultra-compact Schwarzschild stars beyond the Buchdahl limit
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F19%3AA0000555" target="_blank" >RIV/47813059:19240/19:A0000555 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1361-6382/ab0526" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-6382/ab0526</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/ab0526" target="_blank" >10.1088/1361-6382/ab0526</a>
Alternative languages
Result language
angličtina
Original language name
On the radial stability of ultra-compact Schwarzschild stars beyond the Buchdahl limit
Original language description
In this paper we used the theory of adiabatic radial oscillations developed by Chandrasekhar to study the conditions for dynamical stability of constant energy-density stars, or Schwarzschild stars, in the unstudied ultra compact regime beyond the Buchdahl limit, that is, for configurations with radius R in the range R_S < R < (9/8)R_S, where R_S is the Schwarzschild radius of the star. These recently found analytical solutions exhibit a negative pressure region in their centre and, in the limit when R -> R_S, the full interior region of the star becomes filled with negative pressure. Here we present a systematic analysis of the stability of these configurations against radial perturbations. We found that, contrary to the usual expectation found in many classical works, the ultra compact Schwarzschild star is stable against radial oscillations. We computed values of the critical adiabatic index gamma_(c) for several stellar models with varying radius R/R_s and found that it also approaches a finite value as R/R_S -> 1.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Classical and Quantum Gravity
ISSN
0264-9381
e-ISSN
1361-6382
Volume of the periodical
36
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
14
Pages from-to
„065004-1“-„065004-14“
UT code for WoS article
000459242900001
EID of the result in the Scopus database
2-s2.0-85063967047