English

Semiclassical corrections to a regularized Schwarzschild metric

General Relativity and Quantum Cosmology 2017-07-17 v6 High Energy Physics - Theory

Abstract

A version of the Schwarzschild metric to be valid in microphysics is proposed. The source fluid is anisotropic with pr=ρp_{r} = -\rho and fluctuating tangential pressures. At large distances with respect to the Compton wavelength associated to the source particle, they do not depend on the mass mm of the source and everywhere depend on \hbar and the velocity of light cc but not on the Newton constant GG. The particle may be a black hole for mmPm \geq m_{P} only and when m=mPm = m_{P} it becomes an extremal black hole. The Komar energy WW of the gravitational fluid is mc2mc^{2} for =0\hbar = 0 and at large distances and vanishes at r0=2/emcr_{0} = 2\hbar/emc. The WEC is violated when r<r0/2r < r_{0}/2 due to the negative tangential pressures. The horizon entropy for the extremal black hole is finite though WW and the temperature TT are vanishing there.

Keywords

Cite

@article{arxiv.1508.07570,
  title  = {Semiclassical corrections to a regularized Schwarzschild metric},
  author = {Hristu Culetu},
  journal= {arXiv preprint arXiv:1508.07570},
  year   = {2017}
}

Comments

11 pages, no figures, Sec.5 extended, ref. added

R2 v1 2026-06-22T10:44:36.260Z