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We derive the formula of the black hole entropy with a minimal length of the Planck size by counting quantum modes of scalar fields in the vicinity of the black hole horizon, taking into account the generalized uncertainty principle (GUP).…

高能物理 - 理论 · 物理学 2009-11-18 Wontae Kim , John J. Oh

Conjugate points play an important role in the proofs of the singularity theorems of Hawking and Penrose. We examine the relation between singularities and conjugate points in FLRW spacetimes with a singularity. In particular we prove a…

数学物理 · 物理学 2017-10-04 Huibert het Lam , Tomislav Prokopec

We analyze the Generalized Uncertainty Principle (GUP) impact onto the nonextensive black hole thermodynamics by using R\'enyi entropy. We show that when introducing GUP effects, both R\'enyi entropy and temperature associated to black…

广义相对论与量子宇宙学 · 物理学 2021-02-03 Ana Alonso-Serrano , Mariusz P. Dabrowski , Hussain Gohar

I discuss singular spacetimes in the context of the geometrized formulation of Newtonian gravitation. I argue first that geodesic incompleteness is a natural criterion for when a model of geometrized Newtonian gravitation is singular, and…

经典物理 · 物理学 2013-08-09 James Owen Weatherall

The singularities present at the centre of black holes signal a break down of the classical theory. In this paper, we demonstrate a resolution of the Schwarzschild-(Anti-)de Sitter singularity by imposing unitary evolution with respect to…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Sofie Ried

Resolution of singularities in the Kantowski-Sachs model due to non-perturbative quantum gravity effects is investigated. Using the effective spacetime description for the improved dynamics version of loop quantum Kantowski-Sachs…

广义相对论与量子宇宙学 · 物理学 2017-04-14 Sahil Saini , Parampreet Singh

We investigate the geodesic deviation equation in the context of quantum improved spacetimes. The improved Raychaudhuri equation is derived, and it is shown that the classical strong energy condition does not necessarily lead to the…

广义相对论与量子宇宙学 · 物理学 2020-03-11 R. Moti , A. Shojai

Through an illuminating thought experiment we demonstrate that the nonsingular "continued collapse" picture of a black hole is the only consistent and physical one. We provide a class exact solutions on the boundary of the space of physical…

广义相对论与量子宇宙学 · 物理学 2014-02-10 Clifford E Chafin

The generalized uncertainty principle (GUP) is a gravitational correction of Heisenberg's uncertainty principle, which allows us to probe some features of quantum gravity even without the full theory. We are used to working with metric…

广义相对论与量子宇宙学 · 物理学 2023-03-21 Yen Chin Ong

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

广义相对论与量子宇宙学 · 物理学 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

In this paper, we study the generalized uncertainty principle (GUP) effects for the van der Waals (vdW) black holes. In order to obtain the GUP-corrected solution, we consider GUP-corrected black hole temperature. We also study the…

广义相对论与量子宇宙学 · 物理学 2020-07-27 Özgür Ökcü , Ekrem Aydiner

We obtain an effective acoustic metric with quantum corrections that are provided by a minimum length implemented by the generalized Heisenberg uncertainty principle (GUP) in the Abelian Higgs model. The effective acoustic metric now…

广义相对论与量子宇宙学 · 物理学 2022-03-22 M. A. Anacleto , F. A. Brito , G. C. Luna , E. Passos

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking…

高能物理 - 理论 · 物理学 2017-06-14 Sven Köppel , Marco Knipfer , Maximiliano Isi , Jonas Mureika , Piero Nicolini

We study quantum corrections at the horizon scale of a black hole induced by a Generalized Uncertainty Principle (GUP) with a quadratic term in the momentum. The interplay between quantum mechanics and gravity manifests itself into a…

广义相对论与量子宇宙学 · 物理学 2020-10-28 Luca Buoninfante , Gaetano Lambiase , Giuseppe Gaetano Luciano , Luciano Petruzziello

A maximun acceleration analysis by Pati dating back to 1992 is here improved by replacing the traditional Heisenberg Uncertainty Principle (HUP) with the Generalized Uncertainty Principle (GUP), which predicts the existence of a minimum…

广义相对论与量子宇宙学 · 物理学 2025-11-21 Christian Corda , Carlo Cafaro , Newshaw Bahreyni

The stability of geodesic orbits around a regular hairy black hole, in the gravitational decoupling setup, is investigated by employing Lyapunov exponents, which quantify the divergence rate of nearby trajectories in dynamical systems. Both…

广义相对论与量子宇宙学 · 物理学 2025-12-18 R. C. de Paiva , K. S. Alves , R. T. Cavalcanti , R. da Rocha

General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover,…

高能物理 - 理论 · 物理学 2024-12-30 Alfredo Guevara , Uri Kol , Huy Tran

In singularity generating spacetimes both the out-going and in-going expansions of null geodesic congruences $\theta ^{+}$ and $\theta ^{-}$ should become increasingly negative without bound, inside the horizon. This behavior leads to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Manasse R. Mbonye , Demosthenes Kazanas

We explore some implications of our previous proposal, motivated in part by the Generalised Uncertainty Principle (GUP) and the possibility that black holes have quantum mechanical hair that the ADM mass of a system has the form $M + \beta…

广义相对论与量子宇宙学 · 物理学 2020-12-22 Bernard Carr , Heather Mentzer , Jonas Mureika , Piero Nicolini

This work is motivated by the sign problem in a logarithmic parameter of black hole entropy and the existing more massive white dwarfs than the Chandrasekhar mass limit. We examine the quadratic, linear, and linear-quadratic generalized…

广义相对论与量子宇宙学 · 物理学 2021-04-28 Idrus Husin Belfaqih , Harris Maulana , Anto Sulaksono