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We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

We consider two different effective polymerization schemes applied to D-dimensional, spherically symmetric black hole interiors. It is shown that polymerization of the generalized area variable alone leads to a complete, regular,…

General Relativity and Quantum Cosmology · Physics 2009-09-04 A. Peltola , G. Kunstatter

We study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 R. Gambini , J. Olmedo , J. Pullin

We revisit the one-parameter generalization of the C-metric derived by Ernst, which solves the vacuum Einstein equations. Resolving conflicting claims in the literature, we determine the correct value of the parameter that ensures the…

General Relativity and Quantum Cosmology · Physics 2025-11-10 M. M. Akbar , C. P. Brewer , S. M. Modumudi

In this paper, we present a detailed study of axial gravitational perturbations of the regular black hole solution in asymptotically safe gravity, as proposed in \cite{Bonanno:2023rzk}. We analyze the quasinormal mode (QNM) spectrum of this…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Qi-Long Shi , Rui Wang , Wei Xiong , Peng-Cheng Li

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

We consider a possibility to construct a quantum-mechanical model of spacetime, where Planck size quantum black holes act as the fundamental constituents of space and time. Spacetime is assumed to be a graph, where black holes lie on the…

General Relativity and Quantum Cosmology · Physics 2007-06-20 Jarmo Makela

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

Using the earlier developed classical Hamiltonian framework as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Ashtekar , J. Baez , K. Krasnov

We investigate the impact of quantum gravity on accretion onto a modified Schwarzschild black hole within the context of the generalized uncertainty principle (GUP). The minimal measurable length connected to GUP modifies the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2022-12-08 Anisur Rahaman

The metric of a spacetime can be greatly simplified if the spacetime is circular. We prove that in generic effective theories of gravity, the spacetime of a stationary, axisymmetric and asymptotically flat solution must be circular if the…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yiqi Xie , Jun Zhang , Hector O. Silva , Claudia de Rham , Helvi Witek , Nicolas Yunes

We investigate gravitational quasinormal modes of the Dymnikova black hole, a regular spacetime in which the central singularity is replaced by a de Sitter core. This geometry, originally proposed as a phenomenological model, also arises…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Bekir Can Lütfüoğlu , Erdinç Ulaş Saka , Abubakir Shermatov , Inomjon Ibragimov , Javlon Rayimbaev , Sokhibjan Muminov

Spherically symmetric space-times provide many examples for interesting black hole solutions, which classically are all singular. Following a general program, space-like singularities in spherically symmetric quantum geometry, as well as…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Martin Bojowald

A modified Hayward metric of magnetically charged black hole space-time based on rational nonlinear electrodynamics with the Lagrangian ${\cal L} = -{\cal F}/(1+2\beta{\cal F})$ is considered. We introduce the fundamental length,…

General Physics · Physics 2021-08-17 S. I. Kruglov

It is proved that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of R^3 minus a ball, is asymptotically flat. The matter is assumed compactly supported and…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Martin Reiris

We discuss a Gedanken experiment for the measurement of the area of the apparent horizon of a black hole in quantum gravity. Using rather general and model-independent considerations we find a generalized uncertainty principle which agrees…

High Energy Physics - Theory · Physics 2009-10-22 Michele Maggiore

Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Martin Bojowald

This letter deals with an analysis of the space-time static metric that corresponds to a quintessential state equation with constant characteristic parameter. Following a procedure parallel to as it is used in the case of de Sitter space,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pedro F. Gonzalez-Diaz

We propose a two-parameter, static and spherically symmetric regular geometry, which, for specific parameter values represents a regular black hole. The matter required to support such spacetimes within the framework of General Relativity…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Anjan Kar , Sayan Kar

This paper is a generalization of earlier papers [Nucl. Phys. B 884, 344 (2014) (arXiv:1312.2759) and JHEP 6, 63 (2015) (arXiv:1401.2488)]. We generalize the idea of quantum clock time to quantum spacetime reference frame via physical…

General Relativity and Quantum Cosmology · Physics 2018-03-20 M. J. Luo