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We obtain a generally covariant conservation law of energy-momentum for gravitational anyons by the general displacement transform. The energy-momentum currents have also superpotentials and are therefore identically conserved. It is shown…

High Energy Physics - Theory · Physics 2016-09-06 Sze-Shiang Feng , Yi-Shi Duan

I give a pedagogical explanation of what it is about quantization that makes general relativity go from being a nearly perfect classical theory to a very problematic quantum one. I also explain why some quantization of gravity is…

General Relativity and Quantum Cosmology · Physics 2015-05-13 R. P. Woodard

Modern astrophysical and cosmological models are plagued with two severe theoretical difficulties, namely, the dark energy and the dark matter problems. Relative to the former, high-precision observational data have confirmed with startling…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Francisco S. N. Lobo

The energy and momentum for different cosmological models using various prescriptions are evaluated. In particular, we have focused our attention on the energy and momentum for gravitational waves and discuss the results. It is concluded…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Sharif

The standard General Relativity results for precession of particle orbits and for bending of null rays are derived as special cases of perturbation of a quantity that is conserved in Newtonian physics, the Runge-Lenz vector. First this…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Dieter R. Brill , Deepak Goel

The cosmological Robertson-Walker metric of general relativity is often said to have the consequences that (1) the recessional velocity $v$ of a galaxy at proper distance $\ell$ obeys the Hubble law $v=H\ell$, and therefore galaxies at…

Astrophysics · Physics 2009-06-23 Richard J. Cook , M. Shane Burns

Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Júlio C. Fabris , Marcelo H. Alvarenga , Mahamadou Hamani-Daouda , Hermano Velten

In this note, we discuss the significance of the general principle of relativity for a physical theory that abandons the newtonian concept of force and, hence, uses an entirely different conception for the ``cause'' behind motions of…

General Physics · Physics 2007-05-23 Sanjay M Wagh

A nonrelativistic particle released from rest at the edge of a ball of uniform charge density or mass density oscillates with simple harmonic motion. We consider the relativistic generalizations of these situations where the particle can…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Edward Parker

We investigate the properties of a cosmological scenario which undergoes a gravitational phase transition at late times. In this scenario, the Universe evolves according to general relativity in the standard, hot Big Bang picture until a…

Astrophysics · Physics 2013-05-29 Robert R. Caldwell , William Komp , Leonard Parker , Daniel A. T. Vanzella

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

It is commonly remarked that contemporary physics faces a challenge in reconciling quantum theory with Relativity, specifically General Relativity as a theory of gravity. But "challenge" is too mild a descriptor. Once one understands both…

History and Philosophy of Physics · Physics 2025-03-27 Tim Maudlin

This short review is addressed to cosmologists. General relativity predicts that space-time comes to an end and physics comes to a halt at the big-bang. Recent developments in loop quantum cosmology have shown that these predictions cannot…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Abhay Ashtekar

Preliminary results on a canonical formulation of general relativity based on an analogy with the string model of elementary particles are presented. Rather than the metric components, the basic fields of the formalism are taken to be the…

High Energy Physics - Theory · Physics 2016-12-19 Tullio Regge , Claudio Teitelboim

We first present a new Lagrangian of general relativity, which can be divided into kinetic energy term and potential energy term. Taking advantage of vierbein formalism, we reduce the kinetic energy term to a sum of five positive terms and…

General Relativity and Quantum Cosmology · Physics 2009-03-30 T. Mei

The decoherence effect due to emission of gravitons is examined. It shows the same qualitative features of the QED effect which has already been investigated, it is obviously much weaker, wholly universal and shows a stronger energy…

Quantum Physics · Physics 2009-11-10 Giorgio Calucci

The confrontation between general relativity (and its theoretically most plausible deviations) and experimental or observational results is summarized. Some discussion is devoted to the various methodologies used in confronting theory and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour

Einstein's theory of General Relativity is the benchmark example for empirical success and mathematical elegance in theoretical physics. However, in spite of being the most successfully tested theory in physics, there are strong theoretical…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-20 Niayesh Afshordi

We present gravitation as a theory in which the coordinates are distances and velocities between galaxies. We show that there are three possibilities for the Universe to expand: decelerating, constant and accelerating, and it is shown that…

Astrophysics · Physics 2007-05-23 Moshe Carmeli

Comments to the statements of Srikanth (1999) are presented. As for the standard definition of the Poynting-Robertson drag, the results of Srikanth (1999) are incorrect. Srikanth's statements about the isothermality condition and…

Astrophysics · Physics 2007-05-23 Jozef Klacka
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