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We discuss the circumstances under which gravity might be repulsive rather than attractive. In particular we show why our standard solar system distance scale gravitational intuition need not be a reliable guide to the behavior of…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Philip D. Mannheim

We investigate, in the framework of linearized quantum gravity, the quantum gravitational interaction between a gravitoelectrically polarizable object and a gravitomagnetically polarizable object. This interaction originates from the…

General Relativity and Quantum Cosmology · Physics 2025-02-18 Di Hao , Jiawei Hu , Hongwei Yu

We study Lorentz-violating models of massive gravity which preserve rotations and are invariant under time-dependent shifts of the spatial coordinates. In the linear approximation the Newtonian potential in these models has an extra…

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

We use the Dirac equation coupled to a background metric to examine what happens to quantum mechanical observables like the probability density and the radial current in the vicinity of a naked singularity of the Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2011-04-20 D. Batic , M. Nowakowski

Cosmic repulsion represented by a small positive value of the cosmological constant changes significantly properties of central gravitational fields at large distances, leading to existence of a static (or turnaround) radius where…

High Energy Astrophysical Phenomena · Physics 2024-05-22 Petr Slaný

We demonstrate an alternative (with respect to the ones existing in literature) and more habitual for physicists derivation of exact solution of the Einstein-Maxwell equations for the motion of a charged spherical membrane with tangential…

General Relativity and Quantum Cosmology · Physics 2009-07-17 V. Belinski , M. Pizzi , A. Paolino

In particular instances and in particular regions the Einsteinian gravity exerts a repulsive action -- and without any cosmological term. This fact could have an interest for the explanation of the dark energy, and for the gravitational…

General Physics · Physics 2007-10-23 Angelo Loinger , Tiziana Marsico

We investigate gravitational lensing by a photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime in strong deflection limits. Because of the nonexistence of an event horizon and the existence of a potential barrier near an…

General Relativity and Quantum Cosmology · Physics 2021-12-06 Naoki Tsukamoto

It is shown that the slowing down of the rate of time referencing to the inertial time leads in the field theory of gravitation to arising of repulsive forces which remove the cosmological singularity in the evolution of a homogeneous and…

General Relativity and Quantum Cosmology · Physics 2009-04-28 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

Non--minimal repulsive singularities (``repulsons'') in extended supergravity theories are investigated. The short distance antigravity properties of the repulsons are tested at the classical and the quantum level by a scalar…

High Energy Physics - Theory · Physics 2009-10-31 I. Gaida , H. R. Hollmann , J. M. Stewart

We investigate the gravitational field of a static mass with quadrupole moment in empty space. It is shown that in general this configuration is characterized by the presence of curvature singularities without a surrounding event horizon.…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Hernando Quevedo

We show that a single spatially superposed 'source' mass acting on a 'probe' matter wavepacket can reveal the quantum nature of the gravitational field. For this we use a specific state preparation and measurement of the superposed source…

Quantum Physics · Physics 2026-02-13 Pablo L. Saldanha , Chiara Marletto , Vlatko Vedral

We investigate here the particle acceleration by naked singularities to arbitrarily high center of mass energies. Recently it has been suggested that black holes could be used as particle accelerators to probe the Planck scale physics. We…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Mandar Patil , Pankaj S. Joshi

Repulsive gravity is not very popular in physics. However, one comes across it in at least two main occurrences in general relativity: in the negative-$r$ region of Kerr spacetime, and as the result of the gravitational interaction between…

General Relativity and Quantum Cosmology · Physics 2015-10-01 M. Villata

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times…

General Relativity and Quantum Cosmology · Physics 2009-02-10 F. S. Felber

In general relativity, there is a velocity dependent term in the gravitational acceleration of a test particle for an observer at infinity. Depending on the direction of motion and the speed, that term can be repulsive. We show that this is…

General Relativity and Quantum Cosmology · Physics 2024-02-29 Diogo P. L. Bragança

Gravitational collapse is one of the most striking phenomena in gravitational physics. The cosmic censorship conjecture has provided strong motivation for researches in this field. In the absence of general proof for the censorship, many…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Tomohiro Harada

We investigate here the particle acceleration and high energy collision in the Kerr geometry containing a naked singularity. We show that the center of mass energy of collision between two particles, dropped in from a finite but arbitrarily…

General Relativity and Quantum Cosmology · Physics 2011-11-17 Mandar Patil , Pankaj S. Joshi

Forces defined in the framework of optical reference geometry are introduced in the case of stationary and axially symmetric Kerr black-hole and naked-singularity spacetimes with a repulsive cosmological constant. Properties of the forces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Kovar , Zdenek Stuchlik

The $n$-body problem with a purely repulsive Coulomb interaction is considered. It is shown that for large times $t$ the distance between any two particles grows linearly in $t$. The trajectory of each particle is asymptotically a straight…

Classical Analysis and ODEs · Mathematics 2017-07-13 Gerhard Rein