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A topological extension of general relativity is presented. The superposition principle of quantum mechanics, as formulated by the Feynman path integral, is taken as a starting point. It is argued that the trajectories that enter this path…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Marco Spaans

We investigate stationary models of magnetized, self-gravitating disks around black holes. The disks are assumed to rotate according to a recently introduced Keplerian rotation law. We consider different prescriptions of the toroidal…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Wojciech Dyba , Patryk Mach , Mikolaj Pietrzynski

The simplest gauge gravitation theory in Riemann-Cartan space-time leading to the solution of the problem of cosmological singularity and dark energy problem is investigated with purpose to solve the dark matter problem. It is shown that…

General Relativity and Quantum Cosmology · Physics 2017-05-09 A. V. Minkevich

We consider the case of rotating black holes in a dark-matter-emulating theory of gravity called MOG. The latter introduces a gravitational vector field with an associated gravitational charge proportional to the black hole mass and a…

General Relativity and Quantum Cosmology · Physics 2018-12-14 Michael F. Wondrak , Piero Nicolini , John W. Moffat

We continue to study the spherically symmetric vacuum solutions of the tensor-four-scalars theory which is a modification of general relativity. Our aim is to construct vacuum solutions with asymptotically constant circular velocity curves…

Astrophysics of Galaxies · Physics 2012-06-11 Günter Scharf , Fabrice Larere

Let the reciprocal Newton 'constant' be an apparently non-dynamical Brans-Dicke scalar field damped oscillating towards its General Relativistic VEV. We show, without introducing additional matter fields or dust, that the corresponding…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Aharon Davidson

A generally covariant extension of general relativity (GR) in which a dynamical unit timelike vector field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetric static solutions. The two…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Christopher Eling , Ted Jacobson

Recently a new -quantum motivated- theory of gravity has been proposed that modifies the standard Newtonian potential at large distances when spherical symmetry is considered. Accordingly, Newtonian gravity is altered by adding an extra…

Astrophysics of Galaxies · Physics 2013-03-14 Jorge Mastache , Jorge L. Cervantes-Cota , Axel de la Macorra

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein's equation appropriately. A…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Edmund A. Chadwick , Timothy F. Hodgkinson , Graham S. McDonald

We propose, in a heuristic way, a relativistic modified gravity model as an alternative to particle dark matter at galactic scales. The model is based on a postulated preferred time foliation described by a dynamical scalar field called the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Luc Blanchet , Sylvain Marsat

We evaluate general-relativistic effects in motion of stationary accretion disks around a Schwarzschild black hole, assuming the first post-Newtonian (1PN) approximation. There arises an integrability condition, that leads to the emergence…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Piotr Jaranowski , Patryk Mach , Edward Malec , Michal Pirog

Corrections to solar system gravity are derived for f(G) gravity theories, in which a function of the Gauss-Bonnet curvature term is added to the gravitational action. Their effects on Newton's law, as felt by the planets, and on the…

High Energy Physics - Theory · Physics 2008-01-30 Stephen C. Davis

Observations provide increasingly strong evidence that the universe is accelerating. This revolutionary advance in cosmological observations confronts theoretical cosmology with a tremendous challenge, which it has so far failed to meet.…

Astrophysics · Physics 2008-11-26 Ruth Durrer , Roy Maartens

In the continuation of a preceding work, we derive a new expression for the metric in the near zone of an isolated matter system in post-Newtonian approximations of general relativity. The post-Newtonian metric, a solution of the field…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Luc Blanchet , Guillaume Faye , Samaya Nissanke

We study the possibility that galactic rotation curves can be explained by a gravitational potential that contains a linear term as well as a Newtonian one. This hypothesis, suggested by conformal gravity, does allow good fits to the…

Astrophysics · Physics 2007-05-23 Carl E. Carlson , Eric J. Lowenstein

Equations of the conformal theory of gravity with a Dirac scalar field in a Weyl-Cartan space-time have been derived. An exact solution of the equation for a scalar field, which has kind of a decreasing exponential function, has been found.…

General Relativity and Quantum Cosmology · Physics 2010-06-29 Olga V. Babourova , Boris N. Frolov , Roman S. Kostkin

We develop a new approach to building cosmological models, in which small pieces of perturbed Minkowski space are joined together at reflection-symmetric boundaries in order to form a global, dynamical space-time. Each piece of this…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Viraj A. A. Sanghai , Timothy Clifton

We derive an action whose equations of motion contain the Poisson equation of Newtonian gravity. The construction requires a new notion of Newton--Cartan geometry based on an underlying symmetry algebra that differs from the usual Bargmann…

High Energy Physics - Theory · Physics 2020-01-30 Dennis Hansen , Jelle Hartong , Niels A. Obers

Einstein gravity coupled to a massive skew symmetric field F_{\mu\nu\lambda} leads to an acceleration law that modifies the Newtonian law of attraction between particles. We use a framework of non-perturbative renormalization group…

Astrophysics · Physics 2009-11-10 J. W. Moffat

The problem of motion in General Relativity has lost its academic status and become an active research area since the next generation of gravity wave detectors will rely upon its solution. Here we will show, within scalar gravity, how ideas…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael A. Porto , Riccardo Sturani
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