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A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

The classical Raychaudhuri equation predicts the formation of conjugate points for a congruence of geodesics, in a finite proper time. This in conjunction with the Hawking-Penrose singularity theorems predicts the incompleteness of…

General Relativity and Quantum Cosmology · Physics 2021-09-16 Keagan Blanchette , Saurya Das , Saeed Rastgoo

New approach to exact solvability of dilaton gravity theories is suggested which appeals directly to structure of field equations. It is shown that black holes regular at the horizon are static and their metric is found explicitly. If a…

High Energy Physics - Theory · Physics 2009-10-31 O. B. Zaslavskii

In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalized uncertainty principle, with the corrections from the quantum Raychaudhuri equation. The reason…

High Energy Physics - Theory · Physics 2018-04-19 Elias C. Vagenas , Lina Alasfar , Salwa M. Alsaleh , Ahmed Farag Ali

The paper is devoted to a detailed study of the effects of quantum corrections on the chaotic behavior in the dynamics of a (massless) probe particle near the horizon of a generalized Schwarzschild black hole. Two possible origins inducing…

General Relativity and Quantum Cosmology · Physics 2022-04-08 Avijit Bera , Surojit Dalui , Subir Ghosh , Elias C. Vagenas

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi

Quantum error correction has given us a natural language for the emergence of spacetime, but the black hole interior poses a challenge for this framework: at late times the apparent number of interior degrees of freedom in effective field…

High Energy Physics - Theory · Physics 2022-10-06 Chris Akers , Netta Engelhardt , Daniel Harlow , Geoff Penington , Shreya Vardhan

We adopt an effective action inspired by asymptotically safe gravity, in which the effective gravitational constant is parametrized as $G(\epsilon) = G_{N} /[1 + \tilde{\omega} (G_{N}^{2} \epsilon)^{\alpha}]$, where $G_{N}$ and $\epsilon$…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Tomohiro Harada , Chiang-Mei Chen , Rituparna Mandal

Recently Ali et.al.(2009) proposed a Generalized Uncertainty Principle (or GUP) with a linear term in momentum (accompanied by Plank length). Inspired by this idea here we calculate the quantum corrected value of a Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-09-02 Barun Majumder

A number of recent observations have suggested that the Einstein's theory of general relativity may not be the ultimate theory of gravity. The f(R) gravity model with R being the scalar curvature turns out to be one of the best bet to…

General Relativity and Quantum Cosmology · Physics 2019-11-26 Surajit Kalita , Banibrata Mukhopadhyay

We show that the warp factor of a generic asymptotically flat black hole in five dimensions can be adjusted such that a conformal symmetry emerges. The construction preserves all near horizon properties of the black holes, such as the…

High Energy Physics - Theory · Physics 2015-05-28 Mirjam Cvetič , Finn Larsen

Using effective field theory techniques, we compute quantum corrections to spherically symmetric solutions of Einstein's gravity and focus in particular on the Schwarzschild black hole. Quantum modifications are covariantly encoded in a…

High Energy Physics - Theory · Physics 2017-05-24 Xavier Calmet , Basem Kamal El-Menoufi

In this paper we systematically study a model of spherically symmetric polymer black holes recently proposed by Gambini, Olmedo, and Pullin (GOP). Within the framework of loop quantum gravity, the quantum parameters in the GOP model depend…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Yu-Chen Liu , Jia-Xi Feng , Fu-Wen Shu , Anzhong Wang

As an example of a black hole in a non-flat background a composite static spacetime is constructed. It comprises a vacuum Schwarzschild spacetime for the interior of the black hole across whose horizon it is matched on to the spacetime of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Rajesh Nayak , M. A. H. MacCallum , C. V. Vishveshwara

It was long believed that the singularity inside a realistic, rotating black hole must be spacelike. However, studies of the internal geometry of black holes indicate a more complicated structure is typical. While it seems likely that an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Patrick R Brady , Serge Droz , Sharon M Morsink

Getting the mathematical rules for quantised black holes correctly is far from straightforward. Many earlier treatises got it not quite correctly. The general relativistic transformation linking the distant observer (who only detects…

General Relativity and Quantum Cosmology · Physics 2019-02-28 Gerard t Hooft

In this paper, we utilize the effective corrections of the $\bar{\mu}$-scheme in loop quantum black holes to obtain a 4-dimensional spherically symmetric metric with a cosmological constant. By imposing the areal gauge on the components of…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Jianhui Lin , Xiangdong Zhang

Non-commutative geometries have been proposed as an approach to quantum gravity and have led to the construction of non-commutative black holes, whose interior singularities are purportedly eliminated due to quantum effects. Here we find…

High Energy Physics - Theory · Physics 2015-05-20 Eric Brown , Robert B. Mann

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

We show that the asymptotic boundary conditions of general asymptotically flat black holes in four dimensions can be modified such that a conformal symmetry emerges. The black holes with the asymptotic geometry removed in this manner…

High Energy Physics - Theory · Physics 2015-06-03 Mirjam Cvetic , Finn Larsen