English

Regular black hole from a confined spin connection in Poincare gauge gravity

General Relativity and Quantum Cosmology 2023-12-20 v1 High Energy Physics - Theory

Abstract

Within the asymptotic safety program, it is possible to construct renormalization group (RG) improved spacetimes by replacing the gravitational coupling GG by its running counterpart G(k)G(k), and subsequently identifying the RG scale kk with a physical distance scale. This procedure has been used to construct a regular Schwarzschild geometry, but it fails in the presence of a cosmological constant. This can only be avoided if the dimensionless cosmological constant has a trivial ultraviolet fixed point, but so far no such scenario has been encountered in quantum general relativity (with or without matter). In this Letter we provide a possible solution to this problem. In Poincare gauge gravity an effective cosmological constant arises naturally, and if the non-Abelian Lorentz spin connection is asymptotically free, it generates a trivial ultraviolet fixed point for this cosmological constant. We thereby tentatively propose a nonsingular black hole consistent with the principles of asymptotic safety, embedded in Poincare gauge gravity.

Keywords

Cite

@article{arxiv.2308.13017,
  title  = {Regular black hole from a confined spin connection in Poincare gauge gravity},
  author = {Jens Boos},
  journal= {arXiv preprint arXiv:2308.13017},
  year   = {2023}
}

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7 pages