TY - JOUR

T1 - Holographic butterfly velocities in brane geometry and Einstein-Gauss-Bonnet gravity with matters

AU - Huang, Wung Hong

N1 - Publisher Copyright:
© 2018 authors. Published by the American Physical Society.

PY - 2018/3/15

Y1 - 2018/3/15

N2 - In the first part of the paper we generalize the butterfly velocity formula to anisotropic spacetime. We apply the formula to evaluate the butterfly velocities in M-branes, D-branes, and strings backgrounds. We show that the butterfly velocities in M2-branes, M5-branes and the intersection M2 M5 equal to those in fundamental strings, D4-branes and the intersection F1 D4 backgrounds, respectively. These observations lead us to conjecture that the butterfly velocity is generally invariant under a double-dimensional reduction. In the second part of the paper, we study the butterfly velocity for Einstein-Gauss-Bonnet gravity with arbitrary matter fields. A general formula is obtained. We use this formula to compute the butterfly velocities in different backgrounds and discuss the associated properties.

AB - In the first part of the paper we generalize the butterfly velocity formula to anisotropic spacetime. We apply the formula to evaluate the butterfly velocities in M-branes, D-branes, and strings backgrounds. We show that the butterfly velocities in M2-branes, M5-branes and the intersection M2 M5 equal to those in fundamental strings, D4-branes and the intersection F1 D4 backgrounds, respectively. These observations lead us to conjecture that the butterfly velocity is generally invariant under a double-dimensional reduction. In the second part of the paper, we study the butterfly velocity for Einstein-Gauss-Bonnet gravity with arbitrary matter fields. A general formula is obtained. We use this formula to compute the butterfly velocities in different backgrounds and discuss the associated properties.

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U2 - 10.1103/PhysRevD.97.066020

DO - 10.1103/PhysRevD.97.066020

M3 - Article

AN - SCOPUS:85044824436

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 066020

ER -