Wright, M;
(2016)
Buchdahl’s inequality in five dimensional Gauss–Bonnet gravity.
General Relativity and Gravitation
, 48
10.1007/s10714-016-2091-9.
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Abstract
The Buchdahl limit for static spherically symmetric isotropic stars is generalised to the case of five dimensional Gauss–Bonnet gravity. Our result depends on the sign of the Gauss–Bonnet coupling constant α. When α>0, we find, unlike in general relativity, that the bound is dependent on the stellar structure, in particular the central energy density and we find that stable stellar structures can exist arbitrarily close to the black hole horizon. Thus stable stars can exist with extra mass in this theory compared to five dimensional general relativity. For α<0 it is found that the Buchdahl bound is more restrictive than the general relativistic case.
| Type: | Article |
|---|---|
| Title: | Buchdahl’s inequality in five dimensional Gauss–Bonnet gravity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s10714-016-2091-9 |
| Publisher version: | http://dx.doi.org/10.1007/s10714-016-2091-9 |
| Language: | English |
| Additional information: | © The Author(s) 2016 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | Buchdahl inequality, Gauss–Bonnet gravity, Mass radius ratio bounds |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1517929 |
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