Compact objects in pure Lovelock theory

  title={Compact objects in pure Lovelock theory},
  author={Naresh Dadhich and Sudan Hansraj and Brian Chilambwe},
  journal={arXiv: General Relativity and Quantum Cosmology},
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… 

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