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In this work, we consider generalized uncertainty principles (GUPs) that incorporate a minimal length through generic momentum-dependent deformation functions. We thus develop a systematic approach connecting such a framework to effective…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Rocco D'Agostino , Pasquale Bosso , Giuseppe Gaetano Luciano

The fundamental field equations in modified gravity (including general relativity; massive and bimetric theories; Ho\vrava-Lifshits, HL; Einstein--Finsler gravity extensions etc) posses an important decoupling property with respect to…

General Physics · Physics 2014-10-30 Sergiu I. Vacaru

As previously observed the massless limit of massive gravity leads to a modification of general relativity. Here we study spherically symmetric solutions of the modified field equations which contain normal matter together with a dark…

General Relativity and Quantum Cosmology · Physics 2009-02-18 G. Scharf

As the only gravity theory with quadratic curvature terms and second-order field equations, Einstein-dilaton-Gauss-Bonnet gravity is a natural testbed to probe the high-curvature regime beyond General Relativity in a fully nonperturbative…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Fabrizio Corelli , Marina De Amicis , Taishi Ikeda , Paolo Pani

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

We introduce a family of solutions of Einstein's gravity minimally coupled to an anisotropic fluid, describing asymptotically flat black holes with "hair" and a regular horizon. These spacetimes can describe the geometry of galaxies…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

This work is focused in the study of analytic anisotropic solutions to Einstein's field equations, describing spherically symmetric and static configurations by way of the gravitational decoupling through the method of Minimal Geometric…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Milko Estrada , Francisco Tello-Ortiz

We consider a general class of quantum gravity-inspired, modified gravity theories, where the Einstein-Hilbert action is extended through the addition of all terms quadratic in the curvature tensor coupled to scalar fields with standard…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Kent Yagi , Leo C. Stein , Nicolas Yunes , Takahiro Tanaka

We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Galin N. Gyulchev , Stoytcho S. Yazadjiev

There is a set of first-order differential equations for the curvature tensor in general relativity (the curvature equations or CEs for short) that are strikingly similar to the Maxwell equations of electrodynamics. This paper considers…

General Relativity and Quantum Cosmology · Physics 2009-01-29 Richard J. Cook

We review the noncommutative gravity of Wess et al. and discuss its physical applications. We define noncommutative symmetry reduction and construct deformed symmetric solutions of the noncommutative Einstein equations. We apply our…

High Energy Physics - Theory · Physics 2010-01-05 Alexander Schenkel

This thesis studies modified theories of gravity from a geometric viewpoint. We review the motivations for considering alternatives to General Relativity and cover the mathematical foundations of gravitational theories in Riemannian and…

General Relativity and Quantum Cosmology · Physics 2024-01-24 Erik Jensko

We study a minimal extension of a recently proposed modification of general relativity that draws on concepts from topological field theory to resolve aspects of the cosmological constant problem. In the original model, the field content of…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Stephon Alexander , Steven J. Clark , Gabriel Herczeg , Michael W. Toomey

We revisit the gravitational lensing of light or gravitational waves by Schwarzschild black hole in geometric optics. Instead of a single massless particle, we investigate the collective behavior of a congruence of light/gravitational rays,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Zhao Li , Xiao Guo , Tan Liu , Tao Zhu , Wen Zhao

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza

Recently, Alekseev and Belinski have presented a new exact solution of the Einstein-Maxwell equations which describes two Reissner-Nordstrom (RN) sources in reciprocal equilibrium (no struts nor strings); one source is a naked singularity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Paolino , M. Pizzi

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within General Relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Stefano Chinaglia , Sergio Zerbini

We show how the model of pseudo-complex general relativity can be tested using gravitational wave signals from coalescing compact objects. The model, which agrees with Einstein gravity in the weak-field limit, diverges dramatically in the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Alex B. Nielsen , Ofek Birnholtz