2017
DOI: 10.1093/mnras/stx523
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Slowly rotating supercompact Schwarzschild stars

Abstract: AcknowledgmentsI am grateful to the universe, for its harmony. The project is the study of integral and surface properties of slowly rotating homogeneous masses in the gravastar limit R → R s , where R s is the Schwarzschild radius. For this purpose we followed the perturbative method proposed by Hartle in 1967. In this model, the relativistic equations of structure for a slowly rotating star were derived at second order in the angular velocity Ω. An interesting, and educational, application of this model was… Show more

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Cited by 31 publications
(47 citation statements)
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“…Explicit examples are given in Refs. [106,119,141,142,222,348]. Therefore, if one is interested in the very small limit, one can study a Kerr-like ECO [163,303,315,322], i.e.…”
Section: The Role Of the Spinmentioning
confidence: 99%
“…Explicit examples are given in Refs. [106,119,141,142,222,348]. Therefore, if one is interested in the very small limit, one can study a Kerr-like ECO [163,303,315,322], i.e.…”
Section: The Role Of the Spinmentioning
confidence: 99%
“…Nevertheless, for perturbative solutions to the vacuum Einstein's equation that admit a smooth BH limit, all multipole moments of the external spacetime approach those of a Kerr BH in the high-compactness regime [21] (for specific examples, see Refs. [32][33][34][35][36][37]). Therefore, we conservatively assume that the small object follows the geodesics of a Kerr metric, with orbital parameters that evolve secularly due to energy and angular momentum fluxes.…”
Section: A Backgroundmentioning
confidence: 99%
“…This implies that the multipolar structure of a spinning ECO might be different from that of a Kerr BH [47,48]. Nevertheless, for perturbative solutions to the vacuum Einstein's equation that admit a smooth BH limit, all multipole moments of the external spacetime approach those of a Kerr BH in the high-compactness regime [47] (for specific examples, see [49][50][51][52][53][54]).…”
Section: A Backgroundmentioning
confidence: 99%