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In this paper we calculate the Bogoliubov coefficients and the energy density of the stochastic gravitational wave background for a universe that undergoes inflation followed by radiation domination and matter domination, using a formalism…

General Relativity and Quantum Cosmology · Physics 2019-08-17 L. E. Mendes , A. B. Henriques , R. G. Moorhouse

Within the framework of relativistic theory of gravitation the exact spherically-symmetric wave solution is received. It is shown that this solution possesses the positive-definite energy and momentum deriving with the Fock energy-momentum…

General Physics · Physics 2012-12-04 A. A. Leonovich , Yu. P. Vyblyi

Gravitational waves have been directly detected and astronomical observations indicate that our Universe has a positive cosmological constant $\Lambda$. Nevertheless, a theoretical gauge-invariant notion of gravitational waves arriving at…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Francisco Fernández-Álvarez , José M. M. Senovilla

The energy spectrum of gravitational waves (GWs), which depicts the energy of GWs per unit volume of space per logarithmic frequency interval normalized to the critical density of the Universe, is a widely used way for quantifying the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves. In this paper we investigate such imprints on gravitational waves…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Andrea Dapor , Klaus Liegener

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

High Energy Physics - Theory · Physics 2009-10-28 Giovanni Modanese

In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

Quantum fluctuations for a massless scalar field in the background metric of spherical impulsive gravitational waves through Minkowski and de Sitter spaces are investigated. It is shown that there exist finite fluctuations for de Sitter…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Y. Enginer , M. Hortacsu , N. Ozdemir

If we want to explain the recently discovered accelerated stage of the universe, one of the option we have is to modify the Einstein tensor. The simplest such modification, in agreement with all observations, is the positive cosmological…

General Relativity and Quantum Cosmology · Physics 2014-11-18 M. Nowakowski , I. Arraut

Static observers remain on Killing-vector world lines and measure the rest-mass+kinetic energies of particles moving past them, and the flux of that mechanical energy through space and time. The total mechanical energy is the total flux…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Joseph Katz , Donald Lynden-Bell , Jiri Bicak

We derive the gravitational dynamics of the tensorial geometry which underlies the most general linear theory of electrodynamics that features weak birefringence in vacuo. This derivation is performed by way of gravitational closure, which…

High Energy Physics - Theory · Physics 2017-08-15 Jonas Schneider , Frederic P. Schuller , Nadine Stritzelberger , Florian Wolz

The energy of gravitational waves is a fundamental problem in gravity theory. The existing descriptions for the energy of gravitational waves, such as the well-known Isaacson energy-momentum tensor, suffer from several defects. Due to the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

We introduce a new model for dark energy in the universe in which a small cosmological constant is generated by ordinary electromagnetic vacuum energy. The corresponding virtual photons exist at all frequencies but switch from a…

Astrophysics · Physics 2008-11-26 Christian Beck , Michael C. Mackey

The linearly polarized gravitational waveforms from a certain type of rotating, evaporating cosmic string - the Allen-Casper-Ottewill loop - are constructed and plotted over the lifetime of the loop. The formulas for the waveforms are…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Malcolm Anderson

The gravitational energy shift for photons is extended to all mass-equivalent energies $E = mc^2$, obeying the quantum condition $E = h\nu$.On an example of a relativistic binary system, it was shown that the gravitational energy shift…

General Relativity and Quantum Cosmology · Physics 2010-04-07 M. Martinis , N. Perković

We review recent work on the Einstein equations of general relativity when the curvature is defined in a weak sense. Weakly regular spacetimes are constructed, in which impulsive gravitational waves, as well as shock waves, propagate.

General Relativity and Quantum Cosmology · Physics 2011-08-09 Philippe G. LeFloch

New boundary conditions are imposed on the familiar cylindrical gravitational wave vacuum spacetimes. The new spacetime family represents cylindrical waves in a flat expanding (Kasner) universe. Space sections are flat and nonconical where…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert H. Gowdy , B. Douglas Edmonds

We examine implications of the weak gravity conjecture for the mechanisms for discharging cosmological constant via membrane nucleations. Once screening fluxes and membranes which source them enter, and weak gravity bounds are enforced, a…

High Energy Physics - Theory · Physics 2023-11-06 Nemanja Kaloper , Alexander Westphal

We derive the gravitational and electrostatic self-energies of a particle at rest in the background of a cosmic dispiration (topological defect), finding that the particle may experience potential steps, well potentials or potential…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , E. S. Moreira

We carry out a theoretical investigation on the collective dynamics of an ensemble of correlated atoms, subject to both vacuum fluctuations of spacetime and stochastic gravitational waves. A general approach is taken with the derivation of…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Diego A. Quinones , Teodora Oniga , Benjamin T. H. Varcoe , Charles H. -T. Wang