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We study spherically symmetric static empty space solutions in $R+\varepsilon/R$ model of $f(R)$ gravity. We show that the Schwarzschild metric is an exact solution of the resulted field equations and consequently there are general…

General Physics · Physics 2015-06-03 Kh. Saaidi , S. W. Rabiei , A. Aghamohammadi

We extend here the canonical treatment of spherically symmetric (quantum) gravity to the most simple matter coupling, namely spherically symmetric Maxwell theory with or without a cosmological constant. The quantization is based on the…

General Relativity and Quantum Cosmology · Physics 2010-11-01 T. Thiemann

For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory of gravity (generalized HMPG) suggested by B\"ohmer and Tamanini, involving both a metric $g_{\mu\nu}$ and an…

General Relativity and Quantum Cosmology · Physics 2023-11-14 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we…

High Energy Physics - Theory · Physics 2023-06-06 Marc Henneaux , Cédric Troessaert

Space-time is spherically symmetric if it admits the group of SO(3) as a group of isometries,with the group orbits spacelike two-surfaces. These orbits are necessarily two-surface of constant positive curavture. One commonly chooses…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi

We study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Das , A. DeBenedictis

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical…

General Relativity and Quantum Cosmology · Physics 2019-12-06 Chopin Soo , Hoi-Lai Yu

This paper investigates the global properties of a class of spherically symmetric spacetimes. The class contains the maximal development of asymptotically flat spherically symmetric initial data for a wide variety of coupled Einstein-matter…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mihalis Dafermos

We discuss the asymptotic symmetry algebra of the Schrodinger-invariant metrics in d+3 dimensions and its realization on finite temperature solutions of gravity coupled to matter fields. These solutions have been proposed as gravity…

High Energy Physics - Theory · Physics 2014-11-20 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay , Kentaroh Yoshida

Exact solutions of the Einstein's field equations describing a spherically symmetric cosmological model without a big bang or any other kind of singularity recently obtained by Dadhich and Patel (2000) are revisited. The matter content of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Anirudh Pradhan , Kashika Srivastava , Amrit Lal Ahuja

We explicitly find an exact spherically symmetric solution in quadratic non-metricity gravity. We show that the quadratic term acts as a cosmological constant. This solution contradicts all the claims in the literature that there is no…

General Relativity and Quantum Cosmology · Physics 2025-08-05 G. G. L. Nashed , Kazuharu Bamba

Close to the Planck energy scale, the quantum nature of space-time reveals itself and all forces, including gravity, should be unified so that all interactions correspond to just one underlying symmetry. In the absence of a full quantum…

High Energy Physics - Theory · Physics 2015-03-17 Mairi Sakellariadou

We describe asymptotic symmetries at spatial infinity of asymptotically flat spacetimes within the context of a generalization of the Beig-Schmidt-Ashtekar-Romano-framework. We demonstrate that it is possible to relax certain smoothness…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Sharad Mishra , Kinjal Banerjee , Jishnu Bhattacharyya

The Einstein theories of space-time and gravity as well the stander cosmology are reconstructed thoroughly in this paper based on flat reference frame. The rational parts of the Einstein theories are reserved while the irrational parts…

General Physics · Physics 2007-05-23 Mei Xiaochun

In this paper we seek static spherically symmetric solutions of Horava-Lifshitz-like gravity with projectability condition. We consider the most general form of gravity action without detailed balance, and require the spacetime metric to…

High Energy Physics - Theory · Physics 2014-11-20 Jin-Zhang Tang , Bin Chen

Gravitational theories generated from Lagrangians of the form f(R) are considered. The spherically symmetric solutions to these equations are discussed, paying particular attention to features that differ from the standard Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-11-11 T. Clifton

The Einstein theories of space-time and gravity as well the stander cosmology are reconstructed thoroughly in this paper based on flat reference frame. The rational parts of the Einstein theories are reserved while the irrational parts…

General Physics · Physics 2007-05-23 Mei Xiaochun

It is shown that a spacetime with collisionless matter evolving from data on a compact Cauchy surface with hyperbolic symmetry can be globally covered by compact hypersurfaces on which the mean curvature is constant and by compact…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hakan Andreasson , Gerhard Rein , Alan D. Rendall

It is proved that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of R^3 minus a ball, is asymptotically flat. The matter is assumed compactly supported and…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Martin Reiris