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Kerr's manifold is only a Schwarzschild's manifold as seen by a suitably rotating coordinate system. By taking into account this fact, Kerr's manifold can be reduced to a Schwarzschild's manifold. In a final summary we give the main steps…

General Physics · Physics 2009-03-09 Angelo Loinger , Tiziana Marsico

In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without…

General Relativity and Quantum Cosmology · Physics 2010-10-04 M. Cattani

By considering a deformation of the Schwarzschild metric in the presence of a minimal measurable length which still respects the equivalence principle, we study corrections to the standard general relativistic predictions for some…

General Relativity and Quantum Cosmology · Physics 2017-06-22 Mohsen Khodadi , Kourosh Nozari , Anahita Hajizadeh

We present a new effective description of macroscopic Kruskal black holes that incorporates corrections due to quantum geometry effects of loop quantum gravity. It encompasses both the `interior' region that contains classical singularities…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

This paper studies the interpretation of physics near a Schwarzschild black hole. A scenario for creation and growth is proposed that avoids the conundrum of information loss. In this picture the horizon recedes as it is approached and has…

General Relativity and Quantum Cosmology · Physics 2014-05-27 Christian Fronsdal

This is a survey on cohomogeneity one manifolds with positive curvature. We discuss the known examples of this type and their geometry and the functions that describe the metric. We also describe the classification of cohomogeneity one…

Differential Geometry · Mathematics 2007-07-24 Wolfgang Ziller

The full metric describing a stationary axisymmetric system of two arbitrary Kerr sources, black holes or hyperextreme objects, located on the symmetry axis and kept apart in equilibrium by a massless strut is presented in a concise…

General Relativity and Quantum Cosmology · Physics 2019-06-26 V. S. Manko , E. Ruiz

The Schwarzschild spacetime metric of negative mass is well-known to contain a naked singularity. In a spacelike slice, this singularity of the metric is characterized by the property that nearby surfaces have arbitrarily small area. We…

Differential Geometry · Mathematics 2013-09-11 Hubert L. Bray , Jeffrey L. Jauregui

This article investigates higher dimensional vacuum solutions of the Einstein equations. Generalizations of the definitions of spherical and axial symmetry to higher dimensions are discussed before analyzing specific solutions bearing one…

General Relativity and Quantum Cosmology · Physics 2012-10-24 Bernadette Lessel

By considering suitable axially symmetric slices on the Kruskal spacetime, we construct counterexamples to a recent version of the Penrose inequality in terms of so-called generalized apparent horizons.

General Relativity and Quantum Cosmology · Physics 2015-05-14 Alberto Carrasco , Marc Mars

Schwarzschild's actual exterior solution (Gs) is resurrected and together with the manifold M is shown to constitute a space-time possessing all the properties historically thought to be required of a point mass. On the other hand, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leonard S. Abrams

We present a modified Schwarzschild solution for a model of evaporation of a black hole with information preservation. By drawing a direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect of a 1D horizon), we derive…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Michael R. R. Good , Eric V. Linder

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…

General Relativity and Quantum Cosmology · Physics 2015-08-25 James W. Douglass

We consider Matrix theory compactified on T^3 and show that it correctly describes the properties of Schwarzschild black holes in 7+1 dimensions, including the energy-entropy relation, the Hawking temperature and the physical size, up to…

High Energy Physics - Theory · Physics 2008-11-26 T. Banks , W. Fischler , I. R. Klebanov , L. Susskind

We present a review of the two prominent singularity theorems due to Penrose and Hawking, as well as their physical interpretation. Their usage is discussed in detail for the Schwarzschild spacetime with positive and negative mass. First,…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Servando V. Serdio , Hernando Quevedo

An exact solution has an axial symmetry is obtained in the teleparallel theory of gravitation. The associated metric has the structure function G(xi)=1-xi^2-2mA(xi)^3. The cubic nature of the structure function can make calculations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gamal G. L. Nashed

The theory of higher derivative gravity is proposed to solve the non-renormalizable problem in quantum gravity.In this article, We use two numerical methods to fit another static spherically symmetric black hole besides the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Jin-Bo He

The stationary spherically symmetric accretion flow in the Schwarzschild metric has been set up as an autonomous first-order dynamical system, and it has been studied completely analytically. Of the three possible critical points in the…

Astrophysics · Physics 2008-11-26 Ipsita Mandal , Arnab K. Ray , Tapas Kumar Das

A quantum vacuum, represented by a viscous fluid, is added to the Einstein vacuum, surrounding a spherical distribution of mass. This gives as a solution, in spherical coordinates, a Schwarzschild-like metric. The plot of g00 and g11…

General Physics · Physics 2013-02-07 P. R. Silva

A formulation of abelian and non-abelian chiral gauge theories is presented together with arguments for the unitarity and renormalisability in four dimensions. IASSNS-HEP-94/70, UM-P-94/96, and RCHEP-94/26.

High Energy Physics - Theory · Physics 2007-05-23 Tien D Kieu