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High Energy Physics - Theory

arXiv:1805.00284 (hep-th)
[Submitted on 1 May 2018 (v1), last revised 3 Jul 2018 (this version, v2)]

Title:Black holes in presence of cosmological constant: Second order in 1/D

Authors:Sayantani Bhattacharyya, Parthajit Biswas, Yogesh Dandekar
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Abstract:We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant' formalism, the dependence on Ricci and the Riemann curvature tensor of the background is manifest here. The gravity system is dual to a dynamical membrane coupled with a velocity field. The dual membrane is embedded in some smooth background geometry that also satisfies the Einstein equation in presence of cosmological constant. We explicitly computed the corrections to the equation governing the membrane-dynamics. Our results match with earlier derivations in appropriate limits. We calculated the spectrum of QNM from our membrane equations and matched them against similar results derived from gravity.
Comments: 55 pages, v2: minor corrections
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1805.00284 [hep-th]
  (or arXiv:1805.00284v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.00284
Related DOI: https://doi.org/10.1007/JHEP10%282018%29171

Submission history

From: Yogesh Dandekar [view email]
[v1] Tue, 1 May 2018 12:12:54 UTC (41 KB)
[v2] Tue, 3 Jul 2018 10:40:54 UTC (41 KB)
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