Regular black holes and their relationship to polymerized models and mimetic gravity

Giesel K, Liu H, Singh P, Weigl S (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Physical Review D American Physical Society

Book Volume: 111

Article Number: 064064

Journal Issue: 6

DOI: 10.1103/PhysRevD.111.064064

Abstract

We present further applications of the formalism introduced by K. H. Akinori Tanaka and Akio Tomiya in [Deep Learning and Phyiscs (Springer, Switzerland, 2021)], which allows the embedding of a broad class of generalized Lemaître-Tolmann-Bondi (LTB) models into effective spherically symmetric spacetimes. We focus on regular black hole models, where a broad class of models can be considered, including for example loop quantum gravity (LQG)-inspired models as well as models with a regular center, e.g., of Bardeen and Hayward. For a certain class of regular black hole models, we can formulate a Birkhoff-like theorem in LTB coordinates. We further show that, depending on the properties of the polymerization functions characterizing such regular black hole models in this formalism, the uniqueness of the effective spherically symmetric vacuum solutions might not be given in general in Schwarzschild-like coordinates. Furthermore, we introduce a reconstruction algorithm that allows for a subclass of these models to construct from a given metric in Schwarzschild-like coordinates the corresponding effective spherically symmetric model, its dynamics as a 1+1-dimensional field theory, as well as a corresponding covariant Lagrangian of extended mimetic gravity in four dimensions. Such a reconstruction allows us to obtain Lagrangians of extended mimetic gravity models for black holes with a regular center, e.g., the Bardeen and Hayward metric, as well as for effective LQG inspired models. Moreover, the reconstruction enables us to extend regular black hole models to general inhomogeneous dust collapse models. For the latter, within this formalism, we can investigate and explore various physical properties of the models such as the existence of weak shell-crossing singularities from a novel perspective.

Authors with CRIS profile

Kristina Giesel Professur für Theoretische Physik Hongguang Liu Chair for Theoretical Physics III (Quantum Gravity) Stefan Weigl Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

Louisiana State University US United States (USA) (US)

How to cite

APA:

Giesel, K., Liu, H., Singh, P., & Weigl, S. (2025). Regular black holes and their relationship to polymerized models and mimetic gravity. Physical Review D, 111(6). https://doi.org/10.1103/PhysRevD.111.064064

MLA:

Giesel, Kristina, et al. "Regular black holes and their relationship to polymerized models and mimetic gravity." Physical Review D 111.6 (2025).

BibTeX: Download