The large D membrane paradigm for general four-derivative theory of gravity with a cosmological constant

  • Aditya Kar
  • Taniya MandalEmail author
  • Arunabha Saha
Open Access
Regular Article - Theoretical Physics


We find the membrane equations which describe the leading order in 1/D dynamics of black holes in the D → ∞ limit for the most general four-derivative theory of gravity in the presence of a cosmological constant. We work up to linear order in the parameter determining the strength of the four-derivative corrections to the gravity action and hence there are no ghost modes in the theory. We find that the effective membrane equations we obtain are the covariant version of the membrane equations in absence of the cosmological constant. We also find the world-volume stress tensor for the membrane whose conservation gives the membrane equations. We apply the membrane equations to predict the light quasi-normal mode spectrum of black holes and black branes in the theory of gravity under consideration.


Black Holes Classical Theories of Gravity 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Indian Institute of Science Education and Research PunePuneIndia
  2. 2.Indian Institute of Science Education and Research BhopalBhopalIndia
  3. 3.University of GenevaGeneve 4Switzerland

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