# 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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#### References

SHOWING 1-10 OF 128 REFERENCES

d.

- Medicine
- Microbial pathogenesis
- 2021

The novel JEV RT-NASBA assay could be used as an efficient molecular biology tool to diagnose JEV, which would facilitate the surveillance of reproductive failure disease in swine and would be beneficial for public health security. Expand

- 2019

- 2019

Charged cosmological black holes: A thorough study of a family of solutions

- Physics
- 2019

We study a class of charged cosmological black holes defined by the Shah-Vaidya solution, which is similar to the McVittie solution but for a central object of nonzero electric charge. We show that… Expand

Existence and classification of pseudo-asymptotic solutions for Tolman–Oppenheimer–Volkoff systems

- Physics, Mathematics
- Annals of Physics
- 2019

The Tolman--Oppenheimer--Volkoff (TOV) equations are a partially uncoupled system of nonlinear and non-autonomous ordinary differential equations which describe the structure of isotropic spherically… Expand

Comment on "Covariant Tolman-Oppenheimer-Volkoff equations. II. The anisotropic case"

- Physics
- 2018

Recently, the covariant formulation of the Tolman-Oppenheimer-Volkoff (TOV) equations for studying the equilibrium structure of a spherically symmetric compact star in the presence of the pressure… Expand

Covariant Tolman-Oppenheimer-Volkoff equations. II. The anisotropic case

- Physics
- 2018

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… Expand

Embedding Black Holes and Other Inhomogeneities in the Universe in Various Theories of Gravity: A Short Review

- Physics
- 2018

Classic black hole mechanics and thermodynamics are formulated for stationary black holes with event horizons. Alternative theories of gravity of interest for cosmology contain a built-in… Expand

Phys

- Rev. D97, 124056
- 2018

Phys

- Rev. D98, 088503
- 2018