Abstract
The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm’s law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
| Original language | English (US) |
|---|---|
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 58 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jan 1 1998 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)
Cite this
An action for black hole membranes. / Parikh, Maulik.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 6, 01.01.1998.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An action for black hole membranes
AU - Parikh, Maulik
PY - 1998/1/1
Y1 - 1998/1/1
N2 - The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm’s law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
AB - The membrane paradigm is the remarkable view that, to an external observer, a black hole appears to behave exactly like a dynamical fluid membrane, obeying such pre-relativistic equations as Ohm’s law and the Navier-Stokes equation. It has traditionally been derived by manipulating the equations of motion. Here we provide an action formulation of this picture, clarifying what underlies the paradigm and simplifying the derivations. Within this framework, we derive previous membrane results, and extend them to dyonic black hole solutions. We discuss how it is that an action can produce dissipative equations. Using a Euclidean path integral, we show that familiar semi-classical thermodynamic properties of black holes also emerge from the membrane action. Finally, in a Hamiltonian description, we establish the validity of a minimum entropy production principle for black holes.
UR - http://www.scopus.com/inward/record.url?scp=0542442748&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0542442748&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.58.064011
DO - 10.1103/PhysRevD.58.064011
M3 - Article
VL - 58
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 6
ER -