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The extreme Schwarzschild-de Sitter space-time is a spherically symmetric solution of Einstein's equations with a cosmological constant Lambda and mass parameter m>0 which is characterized by the condition that 9 Lambda m^2=1. The global…

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Podolsky

For a spherically symmetric self-gravitating scalar field we study self similar and quasi-self similar solutions in asymptotically flat and AdS spacetimes in various dimensions. Our main approach relies on reducing the Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Wenli Zhao

In this paper, we study a proposal put forward recently by Bodendorfer, Mele and M\"unch and Garc\'\i{}a-Quismondo and Marug\'an, in which the two polymerization parameters of spherically symmetric black hole spacetimes are the Dirac…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Geeth Ongole , Hongchao Zhang , Tao Zhu , Anzhong Wang , Bin Wang

We describe a class of modified gravity theories that deform general relativity in a way that breaks time reversal invariance and, very mildly, locality. The algebra of constraints, local physical degrees of freedom, and their linearized…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Marina Cortes , Henrique Gomes , Lee Smolin

In order to test the canonical quantization programme for general relativity we introduce a reduced model for a real sector of complexified Ashtekar gravity which captures important properties of the full theory. While it does not…

General Relativity and Quantum Cosmology · Physics 2010-04-06 T. Thiemann

By virtue of harmonic maps on two-dimensional spheres (S$^{2}$), a topological quantization in spacetime is proposed. The discrete character of all physical quantities follows naturally. A Schwarzschild black hole, non-black hole and…

General Relativity and Quantum Cosmology · Physics 2025-12-30 M. Halilsoy , S. Habib Mazharimousavi

We extend previous results in spherically symmetric gravitational systems coupled with a massless scalar field within the loop quantum gravity framework. As starting point, we take the Schwarzschild spacetime. The results presented here…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Enrique F. Borja , Iñaki Garay , Eckhard Strobel

In this work, we derive the general solutions for a cylindrically symmetric space-time filled with a cosmological perfect fluid obeying $p=\gamma \rho$ ($0\leq \gamma \leq 1$), where $\gamma=1$ represents a stiff or Zeldovich fluid. Using…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Tiberiu Harko , Francisco S. N. Lobo , Man Kwong Mak

Generalized symmetries of the Einstein equations are infinitesimal transformations of the spacetime metric that formally map solutions of the Einstein equations to other solutions. The infinitesimal generators of these symmetries are…

General Relativity and Quantum Cosmology · Physics 2009-10-22 C. G. Torre , I. M. Anderson

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

High Energy Physics - Theory · Physics 2015-05-28 Geoffrey Compère , François Dehouck

Recently symmetries of gravity and gauge fields in the asymptotic regions of spacetime have been shown to play vital role in their low energy scattering phenomena. Further, for the black hole spacetime, near horizon symmetry has been…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Mousumi Maitra , Debaprasad Maity , Bibhas Ranjan Majhi

The general structure of the spherically symmetric solutions in the Weyl conformal gravity is described. The corresponding Bach equations are derived for the special type of metrics, which can be considered as the representative of the…

General Relativity and Quantum Cosmology · Physics 2016-01-15 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

We investigate the quantum geometry of $2d$ surface $S$ bounding the Cauchy slices of 4d gravitational system. We investigate in detail and for the first time the symplectic current that naturally arises boundary term in the first order…

General Relativity and Quantum Cosmology · Physics 2015-07-10 Laurent Freidel , Alejandro Perez

After dimensional reduction the stationary spherically symmetric sector of Einstein's gravity is identified with an SL(2,R)/SO(2) Sigma model coupled to a one dimensional gravitational remnant. The space of classical solutions consists of a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Helia Hollmann

We outline the class of globally regular spherically symmetric solutions to the minimally coupled GR equations asymptotically de Sitter in the origin and asymptotically Schwarzschild at infinity. A source term connects smoothly de Sitter…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Irina Dymnikova

By extending Ashtekar and Romano's definition of spacelike infinity to the timelike direction, a new definition of asymptotic flatness at timelike infinity for an isolated system with a source is proposed. The treatment provides unit…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Uchida Gen , Tetsuya Shiromizu

Static spherically symmetric uncoupled scalar space-times have no event horizon and a divergent Kretschmann singularity at the origin of the coordinates. The singularity is always present so that non-static solutions have been sought to see…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Mark D. Roberts

In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined $n \rightarrow4$d limit of the Einstein-Gauss-Bonnet gravity. The collapse leads to either a black hole or a massive naked…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Suresh C. Jaryal , Ayan Chatterjee