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Some recent supernovae studies have extended the distance versus velocity Hubble plot to very high redshift, and have revealed the apparent presence of a cosmic repulsion. We show that such a repulsion has a natural origin within conformal…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim

We construct a multimetric gravity theory containing N >= 3 copies of standard model matter and a corresponding number of metrics. In the Newtonian limit, this theory generates attractive gravitational forces within each matter sector, and…

General Relativity and Quantum Cosmology · Physics 2010-07-07 Manuel Hohmann , Mattias N. R. Wohlfarth

Could cosmic topology imply dark energy? We use a weak field (Newtonian) approximation of gravity and consider the gravitational effect from distant, multiple copies of a large, collapsed (virialised) object today (i.e. a massive galaxy…

Homogeneous isotropic gravitating models are discussed in the framework of gauge approach to gravitation. Generalized cosmological Friedmann equations without specific solutions are deduced for models filled by scalar fields and usual…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Minkevich

In this article, we investigate the gravitational field of a charged, non-vacuum, non-rotating, spherically symmetric body of mass $M$ assuming a static solution to the Einstein-Maxwell field equations. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Divyesh P. Viththani , Ashok B. Joshi , Tapobroto Bhanja , Pankaj S. Joshi

We consider for the first time the solutions of Klein-Gordon equation in gravitational field of {\em a massive} point source in GR. We examine numerically the basic bounded quantum state and the next few states in the discrete spectrum for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. P. Fiziev , T. L. Bojadjiev , D. A. Georgieva

Properties of the Reissner-Nordstr\"om black-hole and naked-singularity spacetimes with a nonzero cosmological constant are represented by their geodetical structure and embedding diagrams of the central planes of both the ordinary geometry…

General Relativity and Quantum Cosmology · Physics 2008-03-19 Zdeněk Stuchlík , Stanislav Hledík

In the literature on general relativity no mention is made of a remarkable result contained in Hilbert's memoir "Die Grundlagen der Physik", according to which in particular instances and in particular regions the Einsteinian gravity exerts…

General Physics · Physics 2009-04-10 Angelo Loinger , Tiziana Marsico

Cosmic acceleration can be achieved not only with a sufficiently flat scalar field potential but through kinetic terms coupled to gravity. These derivative couplings impose a shift symmetry on the scalar field, aiding naturalness. We write…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-29 Giulia Gubitosi , Eric V. Linder

We consider a feeble repulsive interaction between ordinary matter and dark matter, with a range similar to or larger than the size of the Earth. Dark matter can thus be repelled from the Earth, leading to null results in direct detection…

High Energy Physics - Phenomenology · Physics 2018-02-07 Hooman Davoudiasl

We derive the scalar-tensor modification of the gravitational field of an ultrarelativistic particle beam and its effect on a test particle that is used as sensor. To do so, we solve the linearized scalar-tensor gravity field equations…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Christian Pfeifer , Dennis Rätzel , Daniel Braun

We study relative motion of nearby test particles in Topologically Massive Gravity (TMG) in three spacetime dimensions, using the equation of geodesic deviation. We show that, in a suitable reference frame, the influence of any…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Matus Papajcik , Jiri Podolsky

In this work we study the deflection angle $\Delta \varphi$ and gravitational lensing of both lightlike and timelike neutral rays in Reissner-Nordstr\"om (RN) spacetimes. The exact deflection angle is found as an elliptical function of the…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Xiankai Pang , Junji Jia

We investigate strong gravitational lensing by a marginally unstable photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime. Using the Picard-Fuchs equation, we derive full-order power series expressions for the deflection…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Tadashi Sasaki

It is assumed that the primary interaction between two masses m1 and m2 is not attractive as postulated by Newton's law of gravitation, but repulsive. Both m1 and m2 emit and absorb gravitational radiation. Corresponding to the laws of…

General Physics · Physics 2008-02-03 Johann Albers

Solutions of Einstein vacuum equations, for a static pseudospherically symmetric system, are presented. They describe a naked singularity and a singular solution with many resemblances to the Schwartzschild solution but with two major…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Luis A. Anchordoqui , Graciela S. Birman , Jose D. Edelstein , Carlos Núñez

Comments are due on a recent paper by McGruder III (2017) in which the author deals with the concept of gravitational repulsion in the context of the Schwarzschild-Droste solution. Repulsion (deceleration) for ingoing particles into a black…

General Relativity and Quantum Cosmology · Physics 2017-08-15 Alessandro D. A. M. Spallicci

We construct a consistent model of gravity where the tensor graviton mode is massive, while linearized equations for scalar and vector metric perturbations are not modified. The Friedmann equation acquires an extra dark-energy component…

High Energy Physics - Theory · Physics 2009-11-10 S. L. Dubovsky , P. G. Tinyakov , I. I. Tkachev

We show how the motion of a charged particle near the horizon of an extreme Reissner-Nordstrom black hole can lead to different forms of conformal mechanics, depending on the choice of the time coordinate.

High Energy Physics - Theory · Physics 2009-11-07 S. Mignemi

Near a spinning point particle in (2+1)-dimensional gravity (or near an infinitely thin, straight, spinning string in 3+1 dimensions) there is a region of space-time with closed timelike curves. Exact solutions for extended sources with…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Harald H. Soleng
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