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A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical…

General Relativity and Quantum Cosmology · Physics 2009-11-04 S. N. Pandey , B. K. Sinha

We formulate a bi-Connection Theory of Gravity whose Gravitational action consists of a recently defined mutual curvature scalar. Namely, we build a gravitational theory consisting of one metric and two affine connections, in a…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Damianos Iosifidis , Konstantinos Pallikaris

The generalized second law can be used to prove a singularity theorem, by generalizing the notion of a trapped surface to quantum situations. Like Penrose's original singularity theorem, it implies that spacetime is null geodesically…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Aron C. Wall

It is assumed that the radial propagation of light with respect to the naive coordinate system of the observer is uniform and isotropic and that the physical rate of propagation of light is the same for all observers. In accelerated frames…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Edward M. Schaefer

In an attempt to generalize general relativity, we propose a new Hermitian theory of gravity. Space-time is generalized to space-time-momentum-energy and both the principles of general covariance and equivalence are extended. The theory is…

General Relativity and Quantum Cosmology · Physics 2008-05-30 Christiaan Mantz , Tomislav Prokopec

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

High Energy Astrophysical Phenomena · Physics 2017-07-26 Paul M. Chesler , Abraham Loeb

The Einstein-Hilbert theory of gravity can be rephrased by focusing on local conformal symmetry as an exact, but spontaneously broken symmetry of nature. The conformal component of the metric field is then treated as a dilaton field with…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Gerard 't Hooft

That preferred-frame theory accounts for special relativity and reduces to it if the gravitation field cancels. Starting from an interpretation of gravity as a pressure force, it is based on just one scalar field. This scalar gives the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Mayeul Arminjon

The problem of the event horizon in relativistic gravity is discussed. Singular solutions in general relativity are well known. The Schwarschild metric of a spherical mass is singular at zero ($r = 0$) and at the event horizon ($r = r_g$).…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Svetlana Andrusenko , Daniil Krichevskiy , Valentin Rudenko

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

Assuming that general relativity is the correct theory of gravity in the strong field limit, can gravitational wave observations distinguish between black hole and other compact object sources? Alternatively, can gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Bernard Kelly , Badri Krishnan , Lee Samuel Finn , David Garrison , Ramon Lopez-Aleman

The "ringdown" radiation emitted by oscillating black holes has great scientific potential. By carefully predicting the frequencies and amplitudes of black hole quasinormal modes and comparing them with gravitational-wave data from compact…

It is established that black holes have entropy and behave as thermodynamical systems. Associating entropy to gravitational fields has not remained limited to black holes, necessitating the notion of the second law of thermodynamics in…

High Energy Physics - Theory · Physics 2026-03-26 V. R. Shajiee , M. M. Sheikh-Jabbari

The detection of gravitational waves from binary black holes sources has opened the possibility to search for electric charges and "dark" charges on black holes, the latter being candidates for dark matter. This requires theoretical…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Pawan Kumar Gupta

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that…

High Energy Physics - Theory · Physics 2018-04-25 David Chester

The concept of freely falling frames suggests that gravity exhibits a local Lorentz gauge symmetry and requires a background Minkowski reference frame. The gauge vector fields of a Yang-Mills-type theory can be constructed from the…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Hans Christian Öttinger

We present a geometrical gravitational theory which reduces to Einstein's theory for weak gravitational potentials and which has a singularity-free analog of the Schwarzschild metric.

General Relativity and Quantum Cosmology · Physics 2009-10-22 Neil J. Cornish , John W. Moffat

Binary pulsars are excellent laboratories to test the building blocks of Einstein's theory of General Relativity. One of these is Lorentz symmetry which states that physical phenomena appear the same for all inertially moving observers. We…

General Relativity and Quantum Cosmology · Physics 2014-05-01 Kent Yagi , Diego Blas , Nicolas Yunes , Enrico Barausse

Starting with a field theoretic approach in Minkowski space, the gravitational energy momentum tensor is derived from the Einstein equations in a straightforward manner. This allows to present them as {\it acceleration tensor} = const.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

We derive the energy fluxes radiated by compact binary systems, including "hairy" black holes, in Einstein-Maxwell-dilaton theories, for circular orbits and at quadrupolar order. This enables to include in their resummed effective-one-body…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Félix-Louis Julié