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arXiv · 1607.07095

Compact objects in pure Lovelock theory

Naresh Dadhich·Sudan Hansraj·Brian Chilambwe
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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.

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Naresh Dadhich, Sudan Hansraj, Brian Chilambwe. 2017-05-08. Compact objects in pure Lovelock theory. https://doi.org/10.1142/s0218271817500560

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