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The Buchdahl stability bound in Eddington-inspired Born-Infeld gravity *
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| Zeitschriftentitel: | Chinese Physics C |
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| Personen und Körperschaften: | , , |
| In: | Chinese Physics C, 43, 2019, 8, S. 083107 |
| Format: | E-Article |
| Sprache: | Unbestimmt |
| veröffentlicht: |
IOP Publishing
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| Schlagwörter: |
| Zusammenfassung: | <jats:title>Abstract</jats:title> <jats:p>We give the Buchdahl stability bound in Eddington-inspired Born-Infeld (EiBI) gravity. We show that this bound depends on an energy condition controlled by the model parameter <jats:inline-formula> <jats:tex-math><?CDATA $\kappa$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_083107_M1.jpg" xlink:type="simple" /> </jats:inline-formula>. From this bound, we can constrain <jats:inline-formula> <jats:tex-math><?CDATA $\kappa\lesssim 10^{8}\;{\rm{m}}^2$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_083107_M2.jpg" xlink:type="simple" /> </jats:inline-formula> if a neutron star with a mass around <jats:inline-formula> <jats:tex-math><?CDATA $3M_{\odot}$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_083107_M3.jpg" xlink:type="simple" /> </jats:inline-formula> is observed in the future. In addition, to avoid the potential pathologies in EiBI, a Hagedorn-like equation of state associated with <jats:inline-formula> <jats:tex-math><?CDATA $\kappa$?></jats:tex-math> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="cpc_43_8_083107_M4.jpg" xlink:type="simple" /> </jats:inline-formula> at the center of a compact star is inevitable, which is similar to the Hagedorn temperature in string theory. </jats:p> |
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| Umfang: | 083107 |
| ISSN: |
1674-1137
2058-6132 |
| DOI: | 10.1088/1674-1137/43/8/083107 |