Covariant Tolman-Oppenheimer-Volkoff equations. I. The isotropic case

@article{Carloni2017CovariantTE,
  title={Covariant Tolman-Oppenheimer-Volkoff equations. I. The isotropic case},
  author={Sante Carloni and Daniele Vernieri},
  journal={Physical Review D},
  year={2017}
}
We generalise the covariant Tolman-Oppenheimer-Volkoff equations proposed in arXiv:1709.02818 [gr-qc] to the case of static and spherically symmetric spacetimes with anisotropic sources. The extended equations allow a detailed analysis of the role of the anisotropic terms in the interior solution of relativistic stars and lead to the generalisation of some well known solutions of this type. We show that, like in the isotropic case, one can define generating theorems for the anisotropic Tolman… 
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