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.

arXiv comment22 pages 3 figures

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• Spherically symmetric isothermal fluids in $f(R,T)$ gravity
• Relativistic Polytropic Models of Charged Anisotropic Compact Object
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity
• Pure Lovelock Gravity regular black holes
• Quasi-local energy and ADM mass in pure Lovelock gravity
• Physical Implications of Pure Lovelock Geometry on Stellar Structure
• Universality of the Buchdahl sphere
• Representation of compact stars using the black string set--up
• A possible testbed for warped extra dimension from the angle of Buchdahl's limit