gr-qc

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# Title: Compact objects in pure Lovelock theory

Abstract: For static fluid interiors of compact objects in pure Lovelock gravity (involving ony one $N$th order term in the equation) we establish similarity in solutions for the critical odd and even $d=2N+1, 2N+2$ dimensions. It turns out that in critical odd $d=2N+1$ dimensions, there can exist no bound distribution with a finite radius, while in critical even $d=2N+2$ dimensions, all solutions have similar behavior. For exhibition of similarity we would compare star solutions for $N =1, 2$ in $d=4$ Einstein and $d=6$ in Gauss-Bonnet theory respectively. We also obtain the pure Lovelock analogue of the Finch-Skea model.
 Comments: 22 pages 3 figures Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Theory (hep-th) DOI: 10.1142/S0218271817500560 Cite as: arXiv:1607.07095 [gr-qc] (or arXiv:1607.07095v2 [gr-qc] for this version)

## Submission history

From: Sudan Hansraj [view email]
[v1] Sun, 24 Jul 2016 21:35:44 GMT (2662kb,D)
[v2] Mon, 8 May 2017 15:56:07 GMT (2731kb,D)

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