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A reflexive relation on a set can be a starting point in defining the causal structure of a spacetime in General Relativity and other relativistic theories of gravity. If we identify this relation as the relation between lightlike separated…

General Relativity and Quantum Cosmology · Physics 2016-06-07 Ovidiu Cristinel Stoica

Galaxy clusters are sources of gravitational radiation. The main aim of this paper is to give numerical estimates and theoretical description of the relevant features of the gravitational radiation coming from an appropriate spatial…

Astrophysics · Physics 2016-08-30 Vicent Quilis , Jose M. Ibanez , Diego Saez

We will briefly review the definition and classification of classical and quantum singularities in general relativity. Examples of classically singular spacetimes that do not have quantum singularities will be given. We will present results…

General Relativity and Quantum Cosmology · Physics 2016-11-09 D. A. Konkowski , T. M. Helliwell

The dynamics of a gravitational wave propagating through a cosmic gauge field are dramatically different than in vacuum. We show that a gravitational wave acquires an effective mass, is birefringent, and its normal modes are a linear…

General Relativity and Quantum Cosmology · Physics 2017-11-22 R. R. Caldwell , C. Devulder , N. A. Maksimova

We analyze the impact of finite-time singularities on gravitational waves, in the context of $F(R)$ gravity. We investigate which singularities are allowed to occur during the inflationary era, when gravitational waves are considered, and…

General Relativity and Quantum Cosmology · Physics 2016-09-28 K. Kleidis , V. K. Oikonomou

We present here an explicit self-dual classical solution of the type of perturbiner in gravity. This solution is a generating function for tree gravitational form-factors with all on-shell gravitons in the same helicity state.

High Energy Physics - Theory · Physics 2007-05-23 A. Rosly , K. Selivanov

The dynamics of pseudo-classical spinning particles in spacetime of gravitational plane waves of general polarization and harmonic profile is studied. The resulting equations of motion are solved exactly and the results are compared with…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Morteza Mohseni

We review recent progress on the resolution of gravitational singularities in string theory. The main example is the fundamental string in five dimensions which is singular in the standard supergravity description but regular after taking…

High Energy Physics - Theory · Physics 2008-08-07 Finn Larsen

First order phase transitions in the early Universe generate gravitational waves, which may be observable in future space-based gravitational wave observatiories, e.g. the European eLISA satellite constellation. The gravitational waves…

High Energy Physics - Lattice · Physics 2015-11-17 Mark Hindmarsh , Stephan Huber , Kari Rummukainen , David Weir

This paper is devoted to the Q-curvature type equation with singularities; mainly we give existence and regularity results of solutions. To have positive solutions which will be meaningfully in conformal geometry we restrict ourself to…

Analysis of PDEs · Mathematics 2012-10-24 Mohammed Benalili

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of plane-fronted and pulsed gravitational wave solutions to the equation…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Robin W. Tucker , Timothy J. Walton

The causal structure of the flat brane universe of RSII type is re-investigated to clarify the boundary conditions for stochastic gravitational waves. In terms of the Gaussian normal coordinate of the brane, a singularity of the equation…

High Energy Physics - Theory · Physics 2009-11-10 Kiyotomo Ichiki , Kouji Nakamura

We summarise the physics of first-order phase transitions in the early universe, and the possible ways in which they might come about. We then focus on gravitational waves, emphasising general qualitative features of stochastic backgrounds…

High Energy Physics - Phenomenology · Physics 2026-02-17 Djuna Croon , David J. Weir

A new type of sectional curvature is introduced. The notion is purely algebraic and can be located in linear algebra as well as in differential geometry.

Differential Geometry · Mathematics 2015-04-07 Barbara Opozda

Gravitational waves sourced by amplified scalar perturbations are a common prediction across a wide range of cosmological models. These scalar curvature fluctuations are inherently nonlinear and typically non-Gaussian. We argue that the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-10 A. J. Iovino , S. Matarrese , G. Perna , A. Ricciardone , A. Riotto

We describe the construction of quantum gravity, i.e. of a theory of self-interacting massless spin-2 quantum gauge fields, the gravitons, on flat space-time, in the framework of causal perturbation theory.

High Energy Physics - Theory · Physics 2007-05-23 Nicola Grillo

Time dependent orbifolds with spacelike or null singularities have recently been studied as simple models of cosmological singularities. We show that their apparent simplicity is an illusion: the introduction of a single particle causes the…

High Energy Physics - Theory · Physics 2009-10-09 Gary T. Horowitz , Joseph Polchinski

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Manuel Tessmer

The paper concerns the fictitious entanglement of the so-called ``singularities'' in problems, pertaining to quantum gravity, due, in point of fact, to the way we try to employ, in that context, differential geometry, the latter being…

General Physics · Physics 2007-05-23 Anastasios Mallios