Compact objects in pure Lovelock theory
Abstract
For static fluid interiors of compact objects in pure Lovelock gravity (involving only one Nth 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 cannot exist any 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 GaussBonnet theory, respectively. We also obtain the pure Lovelock analogue of the FinchSkea model.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2017
 DOI:
 10.1142/S0218271817500560
 arXiv:
 arXiv:1607.07095
 Bibcode:
 2017IJMPD..2650056D
 Keywords:

 Compact stars;
 Lovelock gravity;
 modified gravity;
 higher curvature gravity;
 higher derivative gravity;
 04.20.q;
 04.20.Jb;
 04.50.h;
 04.50.Kd;
 Classical general relativity;
 Exact solutions;
 Higherdimensional gravity and other theories of gravity;
 Modified theories of gravity;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 22 pages 3 figures