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2014

Black Holes and Biophysical (Mem)-branes

Armas, Jay, Harmark, Troels

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We argue that the effective theory describing the long-wavelength dynamics of black branes is the same effective theory that describes the dynamics of biophysical membranes.

We improve the phase structure of higher-dimensional black rings by considering finite thickness corrections in this effective theory, showing a striking agreement between our analytical results and recent numerical constructions while simultaneously drawing a parallel between gravity and the effective theory of biophysical membranes.

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Derivatives of the thickness r 0 r_{0} can be exchanged by derivatives of the fluid velocity [ 5 , 6 ] . Furthermore, the black branes can also be rotating on transverse directions in which case one also must take into account contributions due the extrinsic twist potential ω a i j {\omega_{a}}^{ij} [ 5 , 6 ]

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This equilibrium condition is related to the one found previously in [ 5 ] via the field redefinition R → R + ( n + 1 ) ( n + 4 ) n 2 ( n + 2 ) ξ ( n ) r 0 ε R\to R+\frac{(n+1)(n+4)}{n^{2}(n+2)}\xi(n)r_{0}\varepsilon

Cited in the paper.

Our analytic results cannot be compared to D = 6 D=6 black rings because in D = 6 D=6 back reaction corrections dominate over finite thickness corrections [ 3 ]

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J. Armas and T. Harmark, To appear

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O. J. Dias, J. E. Santos, and B. Way, JHEP 1407

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