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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, the coupled Dirac-Einstein system is quantized and shown to be one-loop non-renormalizable: the diagrams with eight external fermions yield a divergence proportional to the fourth power of the fermion axial-vector current.
Abstract: The coupled Dirac-Einstein system is quantized and shown to be one-loop nonrenormalizable: The diagrams with eight external fermions yield a divergence proportional to the fourth power of the fermion axial-vector current. The gravitational variables required to couple gravitation to fermions are the (sixteen) vierbein fields possessing local Lorentz as well as coordinate invariance. For gravitation coupled to bosons, the vierbein and metric formulations remain equivalent at the quantum level.
233 citations
TL;DR: This work presents a systematic study of cosmological solutions in the Lovelock theory of gravitation, including maximally symmetric space-times, Robertson-Walker universes, and product manifolds of symmetric subspaces.
Abstract: We present a systematic study of cosmological solutions in the Lovelock theory of gravitation, including maximally symmetric space-times, Robertson-Walker universes, and product manifolds of symmetric subspaces.
233 citations
TL;DR: These are the tests of general relativity that will become possible with space-based gravitational-wave detectors operating in the ∼ 10−5 − 1 Hz low-frequency band and the remarkable richness of astrophysics, astronomy, and cosmology in the low- frequencies make the case even stronger.
Abstract: We review the tests of general relativity that will become possible with space-based gravitational-wave detectors operating in the ∼ 10−5 − 1 Hz low-frequency band. The fundamental aspects of gravitation that can be tested include the presence of additional gravitational fields other than the metric; the number and tensorial nature of gravitational-wave polarization states; the velocity of propagation of gravitational waves; the binding energy and gravitational-wave radiation of binaries, and therefore the time evolution of binary inspirals; the strength and shape of the waves emitted from binary mergers and ringdowns; the true nature of astrophysical black holes; and much more. The strength of this science alone calls for the swift implementation of a space-based detector; the remarkable richness of astrophysics, astronomy, and cosmology in the low-frequency gravitational-wave band make the case even stronger.
233 citations
TL;DR: In this article, the authors present a new four-dimensional covariant expression whose integral at space-like infinity gives the total energy for the theory of gravity. And they show that the integral of its divergence over a hypersurface is positive, thereby providing a simple demonstration that gravity has positive energy.
233 citations
TL;DR: In this paper, the mathematical foundations and a practical guide for the numerical solution of gravitational boundary value problems are explained and several tools and tricks that have been useful throughout the literature are presented.
Abstract: The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled the search for new stationary solutions of the Einstein equation (possibly coupled to matter). In this topical review, we explain the mathematical foundations and give a practical guide for the numerical solution of gravitational boundary value problems. We present these methods by way of example: resolving asymptotically flat black rings, singly-spinning lumpy black holes in anti-de Sitter (AdS), and the Gregory-Laflamme zero modes of small rotating black holes in AdS5 × S5. We also include several tools and tricks that have been useful throughout the literature.
233 citations