New perspectives on the TOV equilibrium from a dual null approach

@article{Maciel2020NewPO,
  title={New perspectives on the TOV equilibrium from a dual null approach},
  author={A. B. Maciel and Morgan Le Delliou and Jos{\'e} Pedro Mimoso},
  journal={Classical and Quantum Gravity},
  year={2020},
  volume={37},
  pages={125005}
}
The TOV equation appears as the relativistic counterpart of the classical condition for hydrostatic equilibrium. In the present work we aim at showing that a generalised TOV equation also characterises the equilibrium of models endowed with other symmetries besides spherical. We apply the dual null formalism to spacetimes with two dimensional spherical, planar and hyperbolic symmetries with a perfect fluid as the source. We also assume a Killing vector field orthogonal to the surfaces of… Expand
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