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The energy at null infinity is presented with the help of a simple example of a massless scalar field in Minkowski spacetime. It is also discussed for Einstein gravity. In particular, various aspects of the loss of the energy in the…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Jacek Jezierski

We have derived the Buchdahl's limit for a relativistic star in presence of the Kalb-Ramond field in four as well as in higher dimensions. It turns out that the Buchdahl's limit gets severely affected by the inclusion of the Kalb-Ramond…

General Relativity and Quantum Cosmology · Physics 2018-05-14 Sumanta Chakraborty , Soumitra SenGupta

The close agreement between the predictions of dynamical general relativity for the radiated power of a compact binary system and the observed orbital decay of the binary pulsars PSR B1913+16 and PSR B1534+12 allows us to bound the graviton…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lee Samuel Finn , Patrick J. Sutton

An additional variation of the Einstein-Hilbert action with respect to the Planck mass provides a constraint on the average Ricci scalar that prevents vacuum energy from gravitating. Consideration of the evolution of the inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Lucas Lombriser

A new class of relativistic stellar structure equations which include the effects of an energy-dependent Newton coupling is presented. Significant modifications in the mass-radius relation for neutron stars are possible only if the running…

General Relativity and Quantum Cosmology · Physics 2020-01-16 Alfio Bonanno , Roberto Casadio , Alessia Platania

The aim of this work is to show, in the framework of a simple finite-width disk model, that the amount of mass seen through gravitational microlensing measurements in the region $0<R<R0$ is consistent with the dynamical mass ascertained…

Astrophysics of Galaxies · Physics 2015-03-19 Szymon Sikora , Łukasz Bratek , Joanna Jałocha , Marek Kutschera

This research develops a well-established analytical solution of the Einstein-Maxwell field equations. We analyze the behavior of a spherically symmetric and static interior driven by a charged anisotropic matter distribution. The class I…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Y. Gomez-Leyton , Hina Javaid , L. S. Rocha , Francisco Tello-Ortiz

A low mass-to-light ratio for the baryonic component of spiral galaxies is advocated by a number of dynamical studies and by cosmological simulations of galaxy formation. We discuss the possibility of obtaining low mass-to-light ratios for…

Astrophysics · Physics 2009-11-07 L. Portinari , J. Sommer-Larsen , R. Tantalo

We study the constraint on the mass of the charged Higgs boson in the minimal supergravity model based on the recent measurement of the inclusive $b\rightarrow s\gamma$ decay. It is shown that the lower bound for the charged Higgs mass…

High Energy Physics - Phenomenology · Physics 2011-07-19 Toru Goto , Yasuhiro Okada

If dark matter in the form of compact objects comprises a large fraction of the mass of the universe, then gravitational lensing effects on gamma-ray bursts are expected. We utilize BATSE and Ulysses data to search for lenses of different…

Astrophysics · Physics 2009-10-31 G. F. Marani , R. J. Nemiroff , J. P. Norris , K. Hurley , J. T. Bonnell

We propose a new formalism to analyse the extremum structure of scale-invariant effective potentials. The problem is stated in a compact matrix form, used to derive general expressions for the stationary point equation and the mass matrix…

High Energy Physics - Phenomenology · Physics 2021-11-12 Kristjan Kannike , Kaius Loos , Luca Marzola

We attempt to find new symmetries in the space-time structure, leading to a modified gravitation at large length scales, which provides the foundations of a quantum gravity at very low energies. This search begins by considering a unified…

General Relativity and Quantum Cosmology · Physics 2007-09-13 Claudio Nassif

We define compactness of a gravitational lens as the scaled closest distance of approach (i.e., $r_0/M$) of the null geodesic giving rise to an image. We model forty supermassive dark objects as Schwarzschild lenses and compute compactness…

General Relativity and Quantum Cosmology · Physics 2024-08-13 K. S. Virbhadra

One can get the impression from the Reissner-Nordstrom solution of Einstein's equations that the charge of a body reduces its gravitational field. This looks surprising since the energy of the electrostatic field surrounding a charged body,…

General Relativity and Quantum Cosmology · Physics 2010-06-03 V. Hushwater

This paper demonstrates a relationship between mass and charge through explicit construction of exact Einstein-Maxwell spacetimes by embedding the Schwarzschild and Kerr instantons in 5 dimensions. It is shown further how by varying only…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Vineet Kumar

The usual approaches to the definition of energy give an ambiguous result for the energy of fields in the radiating regime. We show that for a massless scalar field in Minkowski space-time the definition may be rendered unambiguous by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr T. Chrusciel , Jacek Jezierski , Malcolm A. H. MacCallum

In this manuscript we show that the geometrical localization mechanism implies a four dimensional mass for the photon. The consistence of the model provides a mass given exactly by $m_{\gamma}=\sqrt{R}/4$ where $R$ is the Ricci scalar. As a…

High Energy Physics - Theory · Physics 2016-06-02 G. Alencar , C. R. Muniz , R. R. Landim , I. C. Jardim , R. N. Costa Filho

We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, and the capacity of the boundary of asymptotically flat $3$-manifolds with nonnegative scalar curvature. First we give new formulae that…

Differential Geometry · Mathematics 2023-06-12 Pengzi Miao

We present a model of relativistic elastic stars featuring scale invariance. This implies a linear mass-radius relation and the absence of a maximum mass. The most compact spherically symmetric configuration that is radially stable and…

General Relativity and Quantum Cosmology · Physics 2024-04-05 Artur Alho , José Natário , Paolo Pani , Guilherme Raposo

The gravitational-radiation-induced inspiral of a binary system of compact objects is considered. A scheme is described to model the regime in which the gravitational interaction is too strong to use weak-field approximation methods, but…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John T. Whelan