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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, a general third-quantized framework for a system of interacting universes is described, and the field theory action is explicitly constructed and the dynamical equation for the long distance axion potential is thereby derived.
253 citations
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TL;DR: Kikkawa et al. as mentioned in this paper presented the picture that we live in a "brane world" (in the present-day terminology) i.e. in a dynamically localized 3-brane in a higher dimensional space.
Abstract: Here we place the TeX-typeset version of the old preprint SMC-PHYS-66 (1982), which was published in K. Akama, "Pregeometry", in Lecture Notes in Physics, 176, Gauge Theory and Gravitation, Proceedings, Nara, 1982, edited by K. Kikkawa, N. Nakanishi and H. Nariai, (Springer-Verlag) 267--271. In the paper, we presented the picture that we live in a "brane world" (in the present-day terminology) i.e. in a dynamically localized 3-brane in a higher dimensional space. We adopt, as an example, the dynamics of the Nielsen-Olesen vortex type in six dimensional spacetime to localize our space-time within a 3-brane. At low energies, everything is trapped in the 3-brane, and the Einstein gravity is induced through the fluctuations of the 3-brane. The idea is important because it provides a way basically distinct from the "compactification" to hide the extra dimensions which become necessary for various theoretical reasons.
252 citations
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TL;DR: A general ansatz for gravitational entropy can be provided using the criterion that any patch of area which acts as a horizon for a suitably defined accelerated observer must have an entropy proportional to its area as discussed by the authors.
Abstract: A general ansatz for gravitational entropy can be provided using the criterion that any patch of area which acts as a horizon for a suitably defined accelerated observer must have an entropy proportional to its area. After providing a brief justification for this ansatz, several consequences are derived. (i) In any static spacetime with a horizon and associated temperature β−1, this entropy satisfies the relation S = (1/2)βE where E is the energy source for gravitational acceleration, obtained as an integral of (Tab − (1/2)Tgab)uaub. (ii) With this ansatz of S, the minimization of Einstein–Hilbert action is equivalent to minimizing the free energy F with βF = βU − S where U is the integral of Tabuaub. We discuss the conditions under which these results imply S ∝ E2 and/or S ∝ U2 thereby generalizing the results known for black holes. This approach links with several other known results, especially the holographic views of spacetime.
252 citations
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TL;DR: In this paper, it has been shown that this method has a previously overlooked temporal contribution to the quasi-classical amplitude, which lies in different character of time in general relativity versus quantum mechanics, and when one takes into account this temporal contribution does one obtain the canonical temperature for the radiation.
252 citations
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TL;DR: In this article, it was shown that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent $z$ as exact solutions at the point $z = 3.
Abstract: We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent $z$ as exact solutions. At the point $z=3$, exact black hole solutions that are asymptotically Lifshitz arise. These spacetimes are three-dimensional analogues of those that were recently proposed as gravity duals for anisotropic scale invariant fixed points.
252 citations