A Vaidya-type spacetime with no singularities

Abstract

A regular Vaidya-type line-element is proposed in this work. The mass function depends both on the temporal and the spatial coordinates. The curvature invariants and the source stress tensor $T_b^a$ are finite in the whole space. The energy conditions for $T_b^a$ are satisfied if $k^2<2vr$, where $k$ is a positive constant and $v,r$ are coordinates. It is found that the radial pressure has a maximum very close to $r=2m(r>2m),v=2m$. The energy crossing a sphere of constant radius is akin to Lundgren-Schmekel-York quasilocal energy. The Newtonian acceleration of the timelike geodesics has an extra term (compared to the result of Piesnack and Kassner) which leads to rejecting effects.

13 pages, no figures, version accepted for publication in Int. J. Mod. Phys. D, https://doi.org/10.1142/S0218271822501243

References in corpus (5)

• A Primer for Black Hole Quantum Physics
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Self-Renormalization of the Classical Quasilocal Energy
• On the proximity of black hole horizons: lessons from Vaidya
• Semiclassical corrections to a regularized Schwarzschild metric

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