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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

A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

广义相对论与量子宇宙学 · 物理学 2012-11-09 José P. S. Lemos

The relative flow of the Schwarzschild vs. the proper time during the classical evolution of a collapsing shell in the Schwarzschild coordinates practically forces us to interpret black hole formation as a highly non-local quantum process…

广义相对论与量子宇宙学 · 物理学 2022-07-15 De-Chang Dai , Djordje Minic , Dejan Stojkovic

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

高能物理 - 理论 · 物理学 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 A. N. Petrov

A gravitational theory is formulated by considering the physical processes underlying relativistic dilation of time and contraction of space. It is shown that the point mass solution of general relativity's field equation - the…

广义相对论与量子宇宙学 · 物理学 2015-08-25 James W. Douglass

The celebrated geodesic congruence equation of Raychaudhuri, together with the resulting singularity theorems of Penrose and Hawking that it enabled, yield a highly general set of conditions under which a spacetime (or, more generically, a…

广义相对论与量子宇宙学 · 物理学 2023-03-14 Jonathan Gorard

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

The Schwarzschild singularity's resolution has key values in cracking the key mysteries related with black holes, the origin of their horizon entropy and the information missing puzzle involved in their evaporations. We provide in this work…

高能物理 - 理论 · 物理学 2020-01-22 Ding-fang Zeng

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

广义相对论与量子宇宙学 · 物理学 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

The classical singularity theorems of R. Penrose and S. Hawking from the 1960s show that, given a pointwise energy condition (and some causality as well as initial assumptions), spacetimes cannot be geodesically complete. Despite their…

广义相对论与量子宇宙学 · 物理学 2026-02-10 Melanie Graf , Eleni-Alexandra Kontou , Argam Ohanyan , Yasmin Schinnerl

We use the phenomenological approach to study properties of space-time in the vicinity of the Schwarzschild black-hole singularity. Requiring finiteness of the Schwarzschild-like metrics we come to the notion of integrable singularity that…

广义相对论与量子宇宙学 · 物理学 2013-01-24 Vladimir N. Lukash , Vladimir N. Strokov

The Hawking-Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop…

广义相对论与量子宇宙学 · 物理学 2018-01-15 Changjun Gao , Youjun Lu , You-Gen Shen , Valerio Faraoni

Canonical quantization of spherically symmetric initial data which is appropriate to classical interior black hole solutions in four dimensions is carried out and solved exactly without gauge fixing the remaining kinematic Gauss Law…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Chung-Hsien Chou , Chopin Soo , Hoi-Lai Yu

The null geodesics of a Schwarzschild black hole are studied from a dynamical systems perspective. Written in terms of Kerr-Schild coordinates, the null geodesic equation takes on the simple form of a particle moving under the influence of…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Edward Belbruno , Frans Pretorius

The loop quantization of the Schwarzschild interior region, as described by a homogeneous anisotropic Kantowski-Sachs model, is re-examined. As several studies of different -inequivalent- loop quantizations have shown, to date there exists…

广义相对论与量子宇宙学 · 物理学 2016-02-15 Alejandro Corichi , Parampreet Singh

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dah-Wei Chiou

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 study the radiative properties of a spherical and singularity-free black-hole geometry recently proposed in the literature. Contrary to the Schwarzschild spacetime, this geometry is geodesically complete and regular, and, instead of the…

广义相对论与量子宇宙学 · 物理学 2025-07-23 Asier Alonso-Bardaji , David Brizuela , Marc Schneider

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

广义相对论与量子宇宙学 · 物理学 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum