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R. Emparan and K. Tanabe, Universal quasinormal modes of large D black holes , Phys.Rev. D89
Original
1957
Earlier work this paper cites.
R. Emparan, D. Grumiller and K. Tanabe, Large-D gravity and low-D strings , Phys.Rev.Lett. 110
Original
1995
Earlier work this paper cites.
R. Emparan and R. C. Myers, Instability of ultra-spinning black holes , JHEP 09
2003
Earlier work this paper cites.
M. M. Caldarelli, O. J. C. Dias, R. Emparan and D. Klemm, Black Holes as Lumps of Fluid , JHEP 04
Original
2009
Earlier work this paper cites.
O. J. C. Dias, P. Figueras, R. Monteiro, H. S. Reall and J. E. Santos, An instability of higher-dimensional rotating black holes , JHEP 05
Original
2010
Earlier work this paper cites.
R. Emparan, R. Suzuki and K. Tanabe, The large D limit of General Relativity , JHEP 1306
Original
2013
Earlier work this paper cites.
R. Emparan and K. Tanabe, Holographic superconductivity in the large D expansion , JHEP 1401
Original
2014
Earlier work this paper cites.
R. Emparan, R. Suzuki and K. Tanabe, Decoupling and non-decoupling dynamics of large D D black holes , JHEP 1407
Original
2014
Earlier work this paper cites.
R. Emparan, R. Suzuki and K. Tanabe, Instability of rotating black holes: large D analysis , JHEP 1406
Original
2014
Earlier work this paper cites.
J. Armas and T. Harmark, Black Holes and Biophysical (Mem)-branes , Phys. Rev. D90
Original
2014
Earlier work this paper cites.

Similar

J. Armas and T. Harmark, Constraints on the effective fluid theory of stationary branes , JHEP 10
Original
2014
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R. Emparan, T. Shiromizu, R. Suzuki, K. Tanabe and T. Tanaka, Effective theory of Black Holes in the 1/D expansion , JHEP 06
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2015
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R. Suzuki and K. Tanabe, Stationary black holes: Large D D analysis , JHEP 09
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2015
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R. Emparan, K. Izumi, R. Luna, R. Suzuki and K. Tanabe, Hydro-elastic Complementarity in Black Branes at large D , JHEP 06
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2016
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S. Bhattacharyya, A. De, S. Minwalla, R. Mohan and A. Saha, A membrane paradigm at large D , JHEP 04

Then

M. Rozali and A. Vincart-Emard, On Brane Instabilities in the Large D D Limit , JHEP 08
Original
2016
Later among the works it cites.
J. Armas, N. A. Obers and M. Sanchioni, Gravitational Tension, Spacetime Pressure and Black Hole Volume , JHEP 09
Original
2016
Later among the works it cites.
S. Bhattacharyya, A. K. Mandal, M. Mandlik, U. Mehta, S. Minwalla, U. Sharma et al., Currents and Radiation from the large D D Black Hole Membrane , JHEP 05
Original
2017
Later among the works it cites.
B. Chen, P.-C. Li and Z.-z. Wang, Charged Black Rings at large D , JHEP 04
Original
2017
Later among the works it cites.
B. Chen and P.-C. Li, Static Gauss-Bonnet Black Holes at Large D D , JHEP 05

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2018

Stationary Solutions from the Large D Membrane Paradigm

Mandlik, Mangesh, Thakur, Somyadip

Understand

It has recently been shown that the dynamics of black holes in large number of dimensions D can be recast as the dynamics of a probe membrane propagating in the background spacetime which solves Einstein equations without matter.

The equations of motion of this membrane are simply the statement of conservation of the stress tensor and charge current defined on this membrane.
In this paper we obtain the effective equations of motion for stationary membranes in any empty background both in presence and absence of charge.
It turns out that the thermodynamic quantities associated with the stationary membranes that satisfy these effective equations also satisfy the first law of black hole thermodynamics.