Membrane paradigm of black holes in Chern-Simons modified gravity

Abstract

The membrane paradigm of black hole is studied in the Chern-Simons modified gravity. Derived with the action principle a la Parikh-Wilczek, the stress tensor of membrane manifests a rich structure arising from the Chern-Simons term. The membrane stress tensor, if related to the bulk stress tensor in a special form, obeys the low-dimensional fluid continuity equation and the Navier-Stokes equation. This paradigm is applied to spherically symmetric static geometries, and in particular, the Schwarzschild black hole, which is a solution of a large class of dynamical Chern-Simons gravity.

16 pages, author information updated

References in corpus (6)

• How do Black Holes Spin in Chern-Simons Modified Gravity?
• Entropy density of spacetime and the Navier-Stokes fluid dynamics of null surfaces
• The Initial Value Formulation of Dynamical Chern-Simons Gravity
• A generalized Damour-Navier-Stokes equation applied to trapping horizons
• Dirichlet boundary value problem for Chern-Simons modified gravity
• Membrane Paradigm, Gravitational $\Theta$-Term and Gauge/Gravity Duality

Cited by in corpus (4)

• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• On the physical process first law for dynamical black holes
• Black Hole Entropy production and Transport coefficients in Lovelock Gravity
• Black hole mass formula in the membrane paradigm