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General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald

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.…

广义相对论与量子宇宙学 · 物理学 2015-03-31 Rodolfo Gambini , Jorge Pullin

We study the quantization of spherically symmetric vacuum spacetimes within loop quantum gravity. In particular, we give additional details about our previous work in which we showed that one could complete the quantization the model and…

广义相对论与量子宇宙学 · 物理学 2016-12-20 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

We consider the quantization of the complete extension of the Schwarzschild space-time using spherically symmetric loop quantum gravity. We find an exact solution corresponding to the semi-classical theory. The singularity is eliminated but…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rodolfo Gambini , Jorge Pullin

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

广义相对论与量子宇宙学 · 物理学 2017-06-14 Ramon Torres

Recent numerical simulations have found that the Cauchy horizon inside spherical charged black holes, when perturbed nonlinearly by a self-gravitating, minimally-coupled, massless, spherically-symmetric scalar field, turns into a null weak…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Lior M. Burko

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

广义相对论与量子宇宙学 · 物理学 2014-03-06 Ovidiu Cristinel Stoica

The definitions of classical and quantum singularities in general relativity are reviewed. The occurence of quantum mechanical singularities in certain spherically symmetric and cylindrically symmetric (including infinite line…

广义相对论与量子宇宙学 · 物理学 2007-05-23 D. A. Konkowski , T. M. Helliwell , C. Wieland

A non-singular, static spherically symmetric solution to the nonsymmetric gravitational and electromagnetic theory field equations is derived, which depends on the four parameters m, l^2, Q and s, where m is the mass, Q is the electric…

广义相对论与量子宇宙学 · 物理学 2008-11-26 N. J. Cornish , J. W. Moffat

Black Holes have always played a central role in investigations of quantum gravity. This includes both conceptual issues such as the role of classical singularities and information loss, and technical ones to probe the consistency of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Martin Bojowald

We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains…

广义相对论与量子宇宙学 · 物理学 2021-06-16 Rodolfo Gambini , Javier Olmedo , Jorge Pullin

Certain exact solutions of the Einstein field equations over nonsimply-connected manifolds are reviewed. These solutions are spherically symmetric and have no curvature singularity. They provide a regularization of the standard…

广义相对论与量子宇宙学 · 物理学 2015-06-17 F. R. Klinkhamer

We study analytically the spacelike singularity inside a spherically-symmetric, charged black hole coupled to a self-gravitating spherical massless scalar field. We assume spatial homogeneity, and find a generic solution in terms of a…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Lior M. Burko

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same…

广义相对论与量子宇宙学 · 物理学 2011-09-29 Abhay Ashtekar , Martin Bojowald

In this paper we systematically study a five-parameters class of spherically symmetric polymer black/white hole solutions, and find that only three independent combinations are physical and uniquely determine the spacetime properties. After…

广义相对论与量子宇宙学 · 物理学 2022-03-16 Wen-Cong Gan , Nilton O. Santos , Fu-Wen Shu , Anzhong Wang

Isolated horizon conditions specialized to spherical symmetry can be imposed directly at the quantum level. This answers several questions concerning horizon degrees of freedom, which are seen to be related to orientation, and its…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Martin Bojowald , Rafal Swiderski

Constraints on the geometries of static spherically symmetric black holes are obtained by requiring that the spacetime curvature be analytic at the event horizon. Further constraints are obtained by requiring that the semiclassical trace…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Paul R. Anderson , Courtney D. Mull

It is shown that there are static spacetimes with timelike curvature singularities which appear completely nonsingular when probed with quantum test particles. Examples include extreme dilatonic black holes and the fundamental string…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Gary T. Horowitz , Donald Marolf

A class of exact regular spherically symmetric solutions to the Einstein equation obeying Dymnikova's definition of the vacuumlike state is considered. These solutions, which may be interpreted as black holes, are not only singularity free,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Erast B. Gliner

A short review on spherically symmetric static regular black holes and spherically symmetric non singular cosmological space-time is presented. Several models of regular black holes, including new ones, are considered. First, a large class…

广义相对论与量子宇宙学 · 物理学 2022-11-24 Lorenzo Sebastiani , Sergio Zerbini
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