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There is rich literature on regular black holes from loop quantum gravity (LQG), where quantum geometry effects resolve the singularity, leading to a quantum extension of the classical space-time. As we will see, the mechanism that resolves…

General Relativity and Quantum Cosmology · Physics 2023-01-05 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

We explicitly prove that the Weyl conformal symmetry solves the black hole singularity problem, otherwise unavoidable in a generally covariant local or non-local gravitational theory. Moreover, we yield explicit examples of local and…

General Relativity and Quantum Cosmology · Physics 2017-05-04 Cosimo Bambi , Leonardo Modesto , Leslaw Rachwal

In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around…

General Relativity and Quantum Cosmology · Physics 2019-09-13 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

A new proof of the uniqueness of the Kerr-Newman black hole solutions amongst asymptotically flat, stationary and axisymmetric electro-vacuum spacetimes surrounding a connected Killing horizon is given by means of an explicit construction…

General Relativity and Quantum Cosmology · Physics 2012-01-16 Reinhard Meinel

I have derived the Kretschmann scalar for a general black hole of mass m, angular momentum per unit mass a, and electric charge Q. The Kretschmann scalar gives the amount of curvature of spacetime, as a function of position near (and…

Astrophysics · Physics 2009-10-31 Richard C. Henry

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Usman A. Gillani , Rehana Rahim , Khalid Saifullah

Massive scalar charges are ubiquitous in extensions to General Relativity and the Standard Model in particle physics. We describe spectral methods which can accurately construct the spacetime of rotating black holes with dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Adrian Ka-Wai Chung

We present the solution of a non-linear magnetic-charged black hole with an anisotropic matter field and further extend it to obtain the corresponding rotating black hole solution using the modified Newman-Janis algorithm. The event horizon…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

We study strong gravitational lensing in rotating space-times which can be thought of as realistic galactic models in General Relativity. To this end, using the Newman-Janis algorithm, we first obtain a rotating version of a static galactic…

General Relativity and Quantum Cosmology · Physics 2018-04-20 Pritam Banerjee , Suvankar Paul , Tapobrata Sarkar

Recently, a generalised solution for Einstein equations of a rotating compact body, surrounded by matter field was proposed, which is the Kerr-Newman spacetime with an anisotropic matter. The solution possesses an additional hair, along…

General Relativity and Quantum Cosmology · Physics 2021-03-12 C. L. Ahmed Rizwan , A. Naveena Kumara , Kartheek Hegde , Md Sabir Ali , Ajith K. M

The Newman-Janis (NJ) method is a prescription to derive the Kerr space-time from the Schwarzschild metric. The BTZ, Kerr and five-dimensional Myers-Perry (MP) black hole solutions have already been generated by different versions of the NJ…

General Relativity and Quantum Cosmology · Physics 2020-03-19 Masoumeh Tavakoli , Behrouz Mirza

We show that the rotating generalization of Hayward's non-singular black hole previously studied in the literature is geodesically incomplete, and that its straightforward extension leads to a singular spacetime. We present another…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Frédéric Lamy , Eric Gourgoulhon , Thibaut Paumard , Frédéric H. Vincent

We present a new effective description of macroscopic Kruskal black holes that incorporates corrections due to quantum geometry effects of loop quantum gravity. It encompasses both the `interior' region that contains classical singularities…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

In an attempt to re-establish space-time as an essential frame for formulating quantum gravity - rather than an "emergent" one -, we find that exact invariance under scale transformations is an essential new ingredient for such a theory.…

General Relativity and Quantum Cosmology · Physics 2009-09-21 Gerard 't Hooft

We develop the regular black hole solutions recently proposed in arXiv:2109.05974 by incorporating the 1-loop quantum correction to the Newton potential as well as a time delay between an observer at the regular center and that at infinity.…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Yi Ling , Meng-He Wu

We provide the quantization of a charged black hole. We consider a redefinition of the scalar constraint in order to render the algebra of constraints as a Lie algebra. We apply loop quantum gravity techniques adhered to a novel improved…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Florencia Benitez , Esteban Mato , Javier Olmedo

We report on some advances made in the problem of singularities in general relativity. First is introduced the singular semi-Riemannian geometry for metrics which can change their signature (in particular be degenerate). The standard…

Differential Geometry · Mathematics 2013-09-20 Ovidiu Cristinel Stoica

Different proposals for regular rotating black hole spacetimes have appeared recently in the literature. However, a rigorous analysis and proof of the regularity of this kind of spacetimes is still lacking. In this note we analyze rotating…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Ramon Torres , Francesc Fayos
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