The large D limit of General Relativity
By Roberto Emparan, Ryo Suzuki, Kentaro Tanabe. 2013
229 citations recorded by the source corpus.
A bstractGeneral Relativity simplifies dramatically in the limit that the number of spacetime dimensions D is infinite: it reduces to a theory of non-interacting particles, of finite radius but vanishingly small cross sections, which do not emit nor absorb radiation of any finite frequency. Non-trivial black hole dynamics occurs at length scales that are 1/D times smaller than the horizon radius, and at frequencies D times larger than the inverse of this radius. This separation of scales at large D, which is due to the large gradient of the gravitational potential near the horizon, allows an effective theory of black hole dynamics. We develop to leading order in 1/D this effective description for massless scalar fields and compute analytically the scalar absorption probability. We solve to next-to-next-to-leading order the black brane instability, with very accurate results that improve on previous approximations with other methods. These examples demonstrate that problems that can be formulated in an arbitrary number of dimensions may be tractable in analytic form, and very efficiently so, in the large D expansion.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1eb03b1016b7fba8d1996633a152fa17a65c34a9
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
- Jorge E Santos
- S. Sachdev
- Andrew Lucas
- Benson Way
- S. Hartnoll
- Ó. J. Dias
- Rafael A. Porto
- G. Horowitz
Citations in the corpus
- Holographic Quantum Matter (2016, background): “In this limit aspects of the gravitational problem simply and, in particular, the influence of black hole horizons on the geometry becomes restricted to a thin shell around the horizon [241].”
- Numerical methods for finding stationary gravitational solutions (2015, background): “[61] R.”
- The Effective Field Theorist's Approach to Gravitational Dynamics (2016, background): “Another interesting regime to explore the manifestation of all these properties is the large-D limit of general relativity [441, 442].”