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Gravitation
About: Gravitation is a research topic. Over the lifetime, 29306 publications have been published within this topic receiving 821510 citations.
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TL;DR: In this paper, it is shown that one can make a change in the action density, not affecting the equations of motion, which causes four of the ten degrees of freedom associated with the ten g$(n) n−1−n−1 −n−2−n −1 −1−1 n−2 −2−1-n−0−1/n−3/n −2/N−1.
Abstract: The author's generalized procedure for putting a theory into Hamiltonian form is applied to Einstein's theory of gravitation. It is shown that one can make a change in the action density, not affecting the equations of motion, which causes four of the ten degrees of freedom associated with the ten g$_{\mu
u}$ to drop out of the Hamiltonian formalism. This simplification can be achieved only at the expense of abandoning four-dimensional symmetry. In the weak field approximation one can make a Fourier resolution of the field quantities, and one then gets a clean separation of those degrees of freedom whose variables depend on the system of co-ordinates from those whose variables do not. There are four of the former and two of the latter for each Fourier component. The two latter correspond to gravitational waves with two independent states of polarization. One of the four former is responsible for the Newtonian attraction between masses and also gives a negative gravitational self-energy for each mass.
555 citations
TL;DR: In this paper, a review of general two-dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult.
554 citations
TL;DR: In an attempt to find gravitational analogs of Yang-Mills pseudoparticles, this paper obtained two classes of self-dual solutions to the euclidean Einstein equations, which are free from singularities and approach a flat metric at infinity.
554 citations
Book•
11 Aug 2012
TL;DR: In this paper, the connection space is translated in the Connection Space and a glimpse on Einstein-Cartan's Cartan's duality symmetry is given. But it is not explained in detail.
Abstract: From the Content: Basic Notions.- Linear Frames and Tetrads.- Connections.- Gauge Theories and Gravitation.- The Gauge Tenets.- General Relativity.- Gravitation and the Gauge Paradigm.- Fundamentals of Teleparallel Gravity.- Geometrical Setting.- Particle Mechanics.- Free Particles Revisited.- Basic Notions.- Free Equation of Motion.- Global Formulation for Gravity.- Phase Factor Approach.- Colella-Overhauser-Werner Experiment.- Hodge Dual for Soldered Bundles.- Why a New Dual.- Dual Torsion.- Lagrangian and Field Equations.- Lagrangian of Teleparallel Gravity.-Gravitational Energy-Momentum Density.- Field Equations and Conservation Laws.- Teleparallel Gravity.- General Relativity.- Gravitation Without the Equivalence Principle.- Introductory Remarks.- Gravitational Coupling of the Fundamental Fields.- Gravitational Coupling Revisited.- Duality Symmetry.- Duality Symmetry and Gravitation.- Teleparallel Kaluza-Klein Theory.- Kaluza-Klein Theory: a Brief Review.- The Connection Space .- Translations in the Connection Space.- A Glimpse on Einstein-Cartan.- Epilogue.
551 citations
TL;DR: In this article, a zeta function regularization of the one-loop term for gravity was proposed to obtain a non-trivial scaling behavior in cases in which the background metric has non-zero curvature tensor.
548 citations