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In this paper we obtain the black hole metric from a semiclassical analysis of loop quantum black hole. Our solution and the Schwarzschild one tend to match well at large distances from Planck region. In r=0 the semiclassical metric is…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Leonardo Modesto

We propose a quantum model of the Schwarzschild black hole as a quantum mechanics of a system of fermionic degrees of freedom. The system has a constant density of states and a Fermi energy that is inversely proportional to the size of the…

High Energy Physics - Theory · Physics 2024-08-06 Chong-Sun Chu , Rong-Xin Miao

Recently is was shown that the imaginary part of the canonical partition function of Schwarzschild black holes with an energy spectrum E_n = \sigma \sqrt{n} E_P, n= 1,2, ..., has properties which - naively interpreted - leads to the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 H. A. Kastrup

Atoms and the planets acquire their stability from the quantum mechanical incompatibility of the position and momentum measurements. This incompatibility is expressed by the fundamental commutator [x, p_x]=i hbar, or equivalently, via the…

Astrophysics · Physics 2008-11-26 D. V. Ahluwalia

Schwarzschild (non-rotating and chargeless) black holes are classically understood to be voids of extreme gravitation. In this study, we propose a holographic model for their interiors, envisioning them instead as a hydrodynamic medium.…

General Physics · Physics 2025-05-05 Noah M. MacKay

The Dehnen - type dark matter density distribution model is mainly used for dwarf galaxies. In recent years, researchers have speculated that black holes may exist in this dark matter model and have given the black hole metric solutions. On…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Qi-Qi Liang , Dong Liu , Zheng-Wen Long

In transforming from Schwarzschild to Euclidean Rindler coordinates the Schwarzschild time transforms to a periodic angle. As is well-known, this allows one to introduce the Hawking temperature and is an origin of black hole thermodynamics.…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Kostyantyn Ropotenko

Black holes are probably among the most fascinating objects populating our universe. Their characteristic features found within general relativity, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide…

High Energy Physics - Theory · Physics 2015-06-18 Benjamin Koch , Frank Saueressig

Recently, it is reported that thermal fluctuations, which are interpreted as quantum effects, modify the black holes entropy by an exponential term. We now find the effect of such modification on the black hole mass and other thermodynamics…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Behnam Pourhassan

We study the shadow cast by the H$D$ Schwarzschild-Tangherlini black hole, and analytically calculate the influence of extra dimensions on the shadow of a black hole. A black hole casts a shadow as an optical appearance because of its…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Balendra Pratap Singh , Sushant G. Ghosh

We consider a simple spherical model consisting of a Schwarzschild black hole of mass $M$ and a dark matter of mass $\Delta M$ around it. The general formula for the radius of black-hole shadow has been derived in this case. It is shown…

General Relativity and Quantum Cosmology · Physics 2019-06-05 R. A. Konoplya

We suggest a quantum black hole model that is based on an analogue to hydrogen atoms. A self-regular Schwarzschild-AdS black hole is investigated, where the mass density of the extreme black hole is given by the probability density of the…

High Energy Physics - Theory · Physics 2016-07-06 Chang Liu , Yan-Gang Miao , Yu-Mei Wu , Yu-Hao Zhang

The Kazakov-Solodukhin black hole metric represents a spherically symmetric deformation of the Schwarzschild solution due to quantum-gravity corrections. Assuming the absence of nonspherical deformations of the metric, this problem was…

General Relativity and Quantum Cosmology · Physics 2025-05-12 S. V. Bolokhov , K. A. Bronnikov , R. A. Konoplya

Hawking radiation from an evaporating black hole has often been compared to black body radiation. However, this comparison misses an important feature of Hawking radiation: Its low density of states. This can be captured in an easy to…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Sebastian Schuster

The near-horizon geometry of evaporation black holes is determined according to the semi-classical Einstein equation. We consider spherically symmetric configurations in which the collapsing star has already collapsed below the…

High Energy Physics - Theory · Physics 2018-08-01 Pei-Ming Ho , Yoshinori Matsuo

We study some quantum mechanical aspects of dynamical black holes where the Vaidya metric is used as a model representing evaporating black holes. It is shown that in this model the Wheeler-DeWitt equation is solvable in whole region of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

We revisit the Schwarzschild singularity in a semiclassical setting where the background geometry is classical and quantum effects enter through Bohmian (quantal) trajectories associated with a Klein Gordon wave packet. Using the…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Vishnulal Cheriyodathillathu , Tanmay Patil , Saurya Das , Soumen Basak

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

General Relativity and Quantum Cosmology · Physics 2018-01-08 V. Sai sumith Reddy

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

The theory of higher derivative gravity is proposed to solve the non-renormalizable problem in quantum gravity.In this article, We use two numerical methods to fit another static spherically symmetric black hole besides the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Jin-Bo He