TY - JOUR

T1 - Relativistic elasticity of stationary fluid branes

AU - Armas, J.

AU - Obers, N.A.

PY - 2013/2/28

Y1 - 2013/2/28

N2 - Fluid mechanics can be formulated on dynamical surfaces of arbitrary codimension embedded in a background space-time. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show under certain conditions that a given stationary fluid configuration living on a dynamical surface of vanishing thickness and satisfying locally the first law of thermodynamics will behave like an elastic brane when the surface is subject to small deformations. These results, which are independent of the number of space-time dimensions and of the fluid arising from a gravitational dual, reveal the (electro)elastic character of (charged) black branes when considering extrinsic perturbations.

AB - Fluid mechanics can be formulated on dynamical surfaces of arbitrary codimension embedded in a background space-time. This has been the main object of study of the blackfold approach in which the emphasis has primarily been on stationary fluid configurations. Motivated by this approach we show under certain conditions that a given stationary fluid configuration living on a dynamical surface of vanishing thickness and satisfying locally the first law of thermodynamics will behave like an elastic brane when the surface is subject to small deformations. These results, which are independent of the number of space-time dimensions and of the fluid arising from a gravitational dual, reveal the (electro)elastic character of (charged) black branes when considering extrinsic perturbations.

UR - http://www.scopus.com/inward/record.url?scp=84874549587&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.87.044058

DO - 10.1103/PhysRevD.87.044058

M3 - Journal article

AN - SCOPUS:84874549587

VL - 87

SP - 044058

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

ER -