Inverted equation of state and general approach to vacuum-like configurations

2025/08/31 by О. Б. Заславский, Zaslavskii, O. B.
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2509.00899

Abstract

We consider spherically symmetric static black hole configurations that obey the vacuum equation of state: p_r=-ρ, where p_r is the radial pressure, ρ being energy density. We find in a closed form the metric for an arbitrary equation of state for tangential pressure p_θ(ρ). The corresponding formulas enable us to embrace compact Schwarzschild-like configurations and dispersed systems. They include metrics with a regular center and singular ones. In a particular case, the metric of the Kiselev black hole is reproduced.

Citations

• Regular Schwarzschild black holes and cosmological models
• Regular black holes from Kiselev anisotropic fluid
• Regular black holes as an alternative to black bounce
• Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
• Quintessence and black holes
• Vacuum nonsingular black hole
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse

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