English

Effective de Sitter-Schwarzschild Metrics

General Physics 2026-06-22 v1

Abstract

An earlier work that replaced the de Sitter-Schwarzschild metric for a cosmological constant Lambda <=0 by an effective anti-de Sitter black hole analytic at Lambda = 0 is here extended to the horizon structure through its three possible roots. We replace the de Sitter-Schwarzschild metric for all possible values of Lambda and the Schwarzschild radius R for the three possible available roots by either a Schwarzschild black hole whose radius depends on both R and Lambda or a de Sitter space whose cosmological constant depends on both R and Lambda.

Cite

@article{arxiv.2607.09707,
  title  = {Effective de Sitter-Schwarzschild Metrics},
  author = {Moorad Alexanian},
  journal= {arXiv preprint arXiv:2607.09707},
  year   = {2026}
}