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This text aims at discussing the relations between the cosmic acceleration and the theory of gravitation and more generally with the hypotheses underlying the construction of our cosmological model, such as the validity of general…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Jean-Philippe Uzan

A cosmological model with perfect fluid and self-interacting quintessence field is considered in the framework of the spatially flat Friedmann-Robertson-Walker (FRW) geometry. By assuming that all physical quantities depend on the volume…

General Relativity and Quantum Cosmology · Physics 2009-11-07 M. K. Mak , T. Harko

We study the gravitational waves in spacetimes of arbitrary dimension. They generalize the pp-waves and the Kundt waves, obtained earlier in four dimensions. Explicit solutions of the Einstein and Einstein-Maxwell equations are derived for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We derive gravitational waves in a theory with non-local curvature corrections to the Hilbert-Einstein Lagrangian. In addition to the standard two massless tensor modes, with plus and cross polarizations, helicity 2 and angular frequency…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Salvatore Capozziello , Maurizio Capriolo

Gravitational wave detectors are already operating at interesting sensitivity levels, and they have an upgrade path that should result in secure detections by 2014. We review the physics of gravitational waves, how they interact with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 B. S. Sathyaprakash , B. F. Schutz

It has been argued that the energy content in time varying spacetimes can be obtained by using the approximate Lie symmetries of the geodesics equations in that spacetime. When applied to cylindrical gravitational waves, it gives a…

Astrophysics of Galaxies · Physics 2009-03-11 Asghar Qadir

For most of cosmic history, the evolution of our Universe has been governed by the physics of a 'dark sector', consisting of dark matter and dark energy, whose properties are only understood in a schematic way. The influence of these…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Øyvind Christiansen , Julian Adamek , Farbod Hassani , David F. Mota

In creating his gravitational field equations Einstein unjustifiedly assumed that inertial mass, and its energy equivalent, is a source of gravity. Denying this assumption allows modifying the field equations to a form in which a positive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

What are gravitational waves? How do they propagate? and what is their energy content? These questions are addressed in the first two chapters. In the third chapter the pseudo-Newtonian formalism and its extension is reviewed in general and…

General Relativity and Quantum Cosmology · Physics 2007-07-17 Muhammad Shoaib

We investigate the damping of gravitational waves (GW) in $f(R)$ gravity by matter. By applying the kinetic theory, we examine the first-order approximation of the relativistic Boltzmann equation. In the flat spacetime, we derive the…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Haiyuan Feng , Laiyuan Su , Rong-Jia Yang , Wei-Qiang Chen

This paper is a sequel in which we further analyze the recently derived quantum gravity equations which apply in accelerating cosmological spacetimes and whose solutions should be equivalent to all order re-summations of the perturbative…

General Relativity and Quantum Cosmology · Physics 2026-01-21 S. P. Miao , N. C. Tsamis , R. P. Woodard

A exact de Sitter-like cosmological solution of quadratic gravitation with torsion has been found. In the limit of constant energy and pressure, it becomes a exact de Sitter spacetime. It exists in a wide class of quadratic gravity theories…

General Relativity and Quantum Cosmology · Physics 2011-10-18 Guo-Ying Qi , Yongxin Guo

A cosmological gravitational wave background resulting from space-time quantum perturbations at energy scales of $\sim 10^{15}$GeV is expected as a consequence of the general relativity theory in the context of the standard cosmological…

Astrophysics · Physics 2007-05-23 M. Soares-Santos , E. M. de Gouveia Dal Pino

We generalize our previous linear result [1] in obtaining gravitational waves from our piecewise flat model for gravity in 3+1 dimensions to exact piecewise flat configurations describing exact planar gravitational waves. We show explicitly…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Maarten van de Meent

A class of solutions of the gravitational field equations describing vacuum spacetimes outside rotating cylindrical sources is presented. A subclass of these solutions corresponds to the exterior gravitational fields of rotating cylindrical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon , James C. McClune , Enrique Chavez , Hernando Quevedo

The paper is based on the recently proposed 4-dimensional optical space theory and draws some of its consequences for gravitation. Starting with the discussion of central movement, the paper proceeds to establish the a metric compatible…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

We discuss the detectability of gravitational waves with a time dependent mass contribution, by means of the stochastic gravitational wave observations. Such a mass term typically arises in the cosmological solutions of massive gravity…

High Energy Physics - Theory · Physics 2012-12-13 A. Emir Gumrukcuoglu , Sachiko Kuroyanagi , Chunshan Lin , Shinji Mukohyama , Norihiro Tanahashi

We investigate the cosmological background evolution and perturbations in a general class of spatially covariant theories of gravity, which propagates two tensor modes and one scalar mode. We show that the structure of the theory is…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Tomohiro Fujita , Xian Gao , Jun'ichi Yokoyama

We show that a new force, which appeared in a five-dimensional generalization of general relativity, implies precisely the flat circular velocity curves of luminous matter observed in the outer parts of spiral galaxies. A cosmological…

Astrophysics · Physics 2007-05-23 R. L. Ingraham , L. A. Cummings

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad