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We present a new covariant and gauge-invariant perturbation formalism for dealing with spacetimes having spherical symmetry (or some preferred spatial direction) in the background, and apply it to the case of gravitational wave propagation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Chris A. Clarkson , Richard K. Barrett

Quasi-normal modes (QNMs) of a black hole (BH) are the eigen modes describing the dissipative oscillation of various fields in that spacetime, which can be intrinsically produced by the linear perturbation theory. With the discovery of the…

General Relativity and Quantum Cosmology · Physics 2022-12-02 Yuqian Zhao , Bing Sun , Zhan-Feng Mai , Zhoujian Cao

The issue of general covariance in effective quantum gravity models within the Hamiltonian framework is addressed. The previously proposed equations for the covariance condition in spherically symmetric models are explicitly derived. By…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Cong Zhang , Jerzy Lewandowski , Yongge Ma , Jinsong Yang

By implementing the concept of polytropic structures as a scalar field gas with a dark energy-like behavior, we obtain a static spherically symmetric black hole solution in the framework of general relativity. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Y. Sekhmani , S. Zare , L. M. Nieto , H. Hassanabadi , K. Boshkayev

We review recent developments in the treatment of spherically symmetric black holes in loop quantum gravity. In particular, we discuss an exact solution to the quantum constraints that represents a black hole and is free of singularities.…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Rodolfo Gambini , Jorge Pullin

A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mu-Lin Yan , Hua Bai

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

Beginning with the principle that a closed mechanical composite system is timeless, time can be defined by the regular changes in a suitable position coordinate (clock) in the observing part, when one part of the closed composite observes…

Quantum Physics · Physics 2021-10-05 John S. Briggs

The theoretical properties of the black holes (BHs) and of the universe were derived from a unified relativistic theory based on a generalization of local relativity for nonlocal cases in gravitational fields and a quantized standing wave…

Astrophysics · Physics 2008-02-03 Rafael A. Vera

The purpose of this thesis is to provide insights into different aspects of black hole physics, both at a quantum level and from an observational point of view. On the one hand, regarding their fundamental constitutive characteristics, we…

General Relativity and Quantum Cosmology · Physics 2020-04-16 Luciano Gabbanelli

Symmergent gravity is an emergent gravity framework in which gravity emerges guided by gauge invariance, accompanied by new particles, and reconciled with quantum fields. In this paper, we perform a detailed study of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Dhruba Jyoti Gogoi , Ali Övgün , Durmuş Demir

A family of spacetimes suitable for describing the interior of a non-rotational black hole is constructed. The stress-energy tensor is that of a spherically symmetric vacuum, as commonly assumed nowadays. The problem of matching the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Emilio Elizalde , Sergi R. Hildebrandt

In this study, we investigate a static, spherically symmetric black hole (BH) within the framework of Loop Quantum Gravity (LQG) surrounded by quintessence field. Our comprehensive analysis shows that the interplay between quantum…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

The interior of a Schwarzschild black hole is investigated at the level of phenomenological dynamics with the discreteness corrections of loop quantum geometry implemented in two different improved quantization schemes. In one scheme, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dah-Wei Chiou

The general parametrization of spherically symmetric and asymptotically flat black-hole spacetimes in arbitrary metric theories of gravity was suggested in [3]. The parametrization is based on the continued fraction expansion in terms of…

General Relativity and Quantum Cosmology · Physics 2022-05-18 R. A. Konoplya , A. Zhidenko

A pedagogical discussion is given of some aspects of \lq\lq quantum black holes", primarily using recently developed two-dimensional models. After a short preliminary concerning classical black holes, we give several motivations for…

High Energy Physics - Theory · Physics 2008-02-03 Yoichi Kazama

Extending our previous analysis, we study the interior of a Schwarzschild black hole derived from a partial gauge fixing of the full Loop Quantum Gravity Hilbert space, this time including the inverse volume and coherent state subleading…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

Understanding the behaviour of linear waves on black hole backgrounds is a central problem in general relativity, intimately connected with the nonlinear stability of the black hole spacetimes themselves as solutions to the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos

Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while…

High Energy Physics - Theory · Physics 2018-09-10 Tajron Jurić