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In general relativity, an IDEAL (Intrinsic, Deductive, Explicit, ALgorithmic) characterization of a reference spacetime metric $g_0$ consists of a set of tensorial equations $T[g]=0$, constructed covariantly out of the metric $g$, its…

General Relativity and Quantum Cosmology · Physics 2019-09-20 Igor Khavkine

We systematically study a family of loop quantizations for the classical Kruskal spacetimes using the effective description motivated from loop quantum gravity for four generic parameters, $c_o, m, \delta_b$, and $\delta_c$, where the…

General Relativity and Quantum Cosmology · Physics 2024-06-10 Geeth Ongole , Parampreet Singh , Anzhong Wang

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

Through two exact solution families to the Einstein equation and the one-to-one correspondence between their free parameters, we show that the ensemble of collapsars with only close-to-implementing horizon in the Schwarzschild time…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Ding-fang Zeng

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Christian G. Boehmer , Franco Fiorini

We revisit our investigation of the claim of [1] that old black holes contain a firewall, i.e. an in-falling observer encounters highly excited states at a time much shorter than the light crossing time of the Schwarzschild radius. We used…

High Energy Physics - Theory · Physics 2014-02-03 Tom Banks , Willy Fischler , Sandipan Kundu , Juan F. Pedraza

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

One of remarkable features of loop quantum gravity (LQG) is that it can provide resolutions to both the black hole and big bang singularities. In the mini-superspace approach based on the polymerization procedure in LQG, a quantum corrected…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Jian-Ming Yan , Qiang Wu , Cheng Liu , Tao Zhu , Anzhong Wang

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Hiroyuki Nakano , Brennan Ireland , Manuela Campanelli , Eric J. West

We define a completely new space-time starting from the well known Schwarzschild Space time by defining a new polar angle $\phi '= \phi - \omega t$ and then redefining the periodicity: instead of demanding that the original angle be…

General Relativity and Quantum Cosmology · Physics 2017-08-31 Arka Prabha Banik , Eduardo Guendelman

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

High Energy Physics - Theory · Physics 2020-07-15 David A Lowe , Mengyang Tong

We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The…

High Energy Physics - Theory · Physics 2015-10-13 Ignacio J. Araya , Itzhak Bars , Albin James

Bardeen's 1968 idea of a regular black hole spacetime was revived by Hayward in 2006 through the construction of a new example of such a geometry. Later it was realised by Neves and Saa, that a wider, two-parameter class exists, with…

General Relativity and Quantum Cosmology · Physics 2022-08-15 Poulami Dutta Roy , Sayan Kar

We investigate proper infall times in the Schwarzschild and Kerr spacetimes from a covariant perspective, focusing on the role of black--hole rotation in the focusing properties of timelike geodesic congruences.To perform a geometrically…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Erick Pasten , Claudia Alvarez , Norman Cruz

In this paper, we continue the analysis of the effective model of quantum Schwarzschild black holes recently proposed by some of the authors in [1,2]. In the resulting spacetime the central singularity is resolved by a black-to-white hole…

General Relativity and Quantum Cosmology · Physics 2022-02-28 Fabio M. Mele , Johannes Münch , Stratos Pateloudis

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

We generalize the notion of a dielectric analog Schwarzschild black hole model to analog models of arbitrary space-times; in particular, the approach is not restricted to static space-times. This is done by establishing a correspondence…

General Relativity and Quantum Cosmology · Physics 2011-01-20 Robert T. Thompson , Jörg Frauendiener

A quantum-mechanical prescription of static Einstein field equation is proposed in order to construct the matter-metric eigen-states in the interior of a static Schwarzschild black hole where the signature of space-time is chosen as (--++).…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. -T. Sung

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…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Wen-Cong Gan , Nilton O. Santos , Fu-Wen Shu , Anzhong Wang

We review a recent proposal towards a microscopic understanding of the entropy of non-supersymmetric spacetimes -- with emphasis on the Schwarzschild black hole. The approach is based at an intermediate step on the description of the…

High Energy Physics - Theory · Physics 2007-05-23 Axel Krause