Jones, R. Michael
Published in
General Relativity and Gravitation

Any reasonable form of quantum gravity can explain (by phase interference) why, on a large scale, inertial frames seem not to rotate relative to the average matter distribution in the universe without the need for absolute space, finely tuned initial conditions, or without giving up independent degrees of freedom for the gravitational field. A simp...

Yang, Bo Lin, Wenbin
Published in
General Relativity and Gravitation

The analytical solutions for the quasi-Keplerian motion under the generally parameterized post-Newtonian force are derived in the Brumberg–Damour–Deruelle representation. The solutions are formulated in terms of the orbital energy and angular momentum. The achieved results can be applied to not only the motion of a test particle but also the relati...

Lee, Ho Nungesser, Ernesto Tod, Paul
Published in
General Relativity and Gravitation

We show that massless solutions to the Einstein–Vlasov system in a Bianchi I space-time with small anisotropy, i.e. small shear and small trace-free part of the spatial energy momentum tensor, tend to a radiation fluid in an Einstein–de Sitter space-time with the anisotropy ΣbaΣab\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysy...

Panotopoulos, Grigoris Lopes, Ilídio
Published in
General Relativity and Gravitation

We obtain a new exact analytical solution to the Einstein–Maxwell field equations with anisotropic matter. The solution describes the interior of anisotropic, electrically charged strange quark stars with a non-linear equation-of-state. We show the behavior of the solution graphically, and we determine the properties of the star (radius, mass, elec...

Nash, Gary
Published in
General Relativity and Gravitation

A modified Einstein equation of general relativity is obtained by using the principle of least action, a decomposition of symmetric tensors on a time oriented Lorentzian manifold, and a fundamental postulate of general relativity. The decomposition introduces a new symmetric tensor Φαβ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{w...

Scholz, Erhard
Published in
General Relativity and Gravitation

A scalar field model for explaining the anomalous acceleration and light deflection at galactic and cluster scales, without further dark matter, is presented. It is formulated in a scale covariant scalar tensor theory of gravity in the framework of integrable Weyl geometry and presupposes two different phases for the scalar field, like the superflu...

Bertolami, O. Páramos, J.
Published in
General Relativity and Gravitation

We present a novel mechanism for generating a cosmological constant and suitably sequestering the vacuum contribution to it, so that the eponymous cosmological constant problem is avoided. We do so by resorting to a model endowed with a non-minimal coupling between curvature and matter in an appropriately defined relaxed regime, and show that this ...

Khomeriki, Giorgi Rogava, Andria
Published in
General Relativity and Gravitation

Dynamics of a centrifugally driven particle moving along a magnetically prescribed trajectory (e.g. pulsar magnetic field line) in a spacetime of a rotating massive body is considered. We do assume that the particle is on a zero Landau level and is not losing energy via synchrotron or any other kind of radiation. Based on this model we further stud...

Osano, Bob Oreta, Timothy
Published in
General Relativity and Gravitation

This article presents the study of a multi-species fluid characterised by a freeze-out or break-away of one or more species. Whereas single-fluid approximation suffices for modelling of the pre freeze-out period, multi-fluid approximation is required for the post freeze-out period. Embedded in this is a transition period where neither one of the tw...

Velásquez, Marco A. L. Lima, Henrique F. de
Published in
General Relativity and Gravitation

We study some aspects of the geometry of complete spacelike hypersurfaces immersed into a pp-wave spacetime, namely, into a connected Lorentzian manifold admitting a parallel lightlike vector field. Initially, by applying suitable versions of the classical Hopf and Stokes theorems and a criterion of parabolicity for complete Riemannian manifolds, w...