The large D limit of dimensionally continued gravity

Abstract

In a recent paper [arXiv:1302.6382] Emparan, Suzuki, and Tanabe studied general relativity in the limit in which the number of spacetime dimensions D tends to infinity. They showed that, in such limit, the theory simplifies notably. It reduces to a theory whose fundamental objects, black holes and black branes, behave as non-interacting particles. Here, we consider a different way of extending gravity to D dimensions. We present a special limit of dimensionally continued gravity in which black holes retain their gravitational interaction at large D and still have entropy proportional to the mass. The similarities and differences with the limit considered in [arXiv:1302.6382] are discussed.

10 pages

References in corpus (6)

• The large D limit of General Relativity
• Lovelock theories, holography and the fate of the viscosity bound
• High and Low Dimensions in The Black Hole Negative Mode
• On black strings & branes in Lovelock gravity
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Kaluza-Klein theory in the limit of large number of extra dimensions

Cited by in corpus (12)

• The Large D Limit of Einstein's Equations
• Currents and Radiation from the large $D$ Black Hole Membrane
• Quasinormal modes of Gauss-Bonnet black holes at large D
• Dynamical compactification in Einstein-Gauss-Bonnet gravity from geometric frustration
• An Action for and Hydrodynamics from the improved Large D membrane
• Compact extra dimensions in cosmologies with f(T) structure
• Black holes in presence of cosmological constant: Second order in 1/D
• Charged Randall-Sundrum black holes in Higher Dimensions
• Lovelock theory, black holes and holography
• The small and large D limit of Parikh-Wilczek tunneling model for Hawking radiation
• Classical and Quantum Thermodynamic Systems in Curved Spacetime
• Small black holes in the large D limit