2017/10/31 by Wung-Hong Huang
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Butterfly #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Galaxies: Formation, Evolution, Phenomena #Gauss #Geometry #Intersection (aeronautics) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Spacetime #Warp drive #hep-th
paper · pdf · doi:10.1103/physrevd.97.066020
published as Phys. Rev. D 97, 066020 (2018) · Latex, 25 pages, give the simplest form of formula (4.18), typos corrected
openalex created_date 2017/11/10 · arxiv created 2018/02/11 · openalex publication_date 2018/03/23 · arxiv updated 2018/03/28 · openalex updated_date 2026/08/05
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\ensuremath⊥M5 equal to those in fundamental strings, D4-branes and the intersection F1\ensuremath⊥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.