https://doi.org/10.1140/epjc/s10052-018-5541-6
Regular Article - Theoretical Physics
Criticality in third order lovelock gravity and butterfly effect
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
* e-mail: m.qaemmaqami@ipm.ir
Received:
9
December
2017
Accepted:
10
January
2018
Published online:
19
January
2018
We study third order Lovelock Gravity in 
at the critical point which three (A)dS vacua degenerate into one. We see there is not propagating graviton at the critical point. And also we compute the butterfly velocity for this theory at the critical point by considering the shock wave solutions near horizon, this is important to note that although there is no propagating graviton at the critical point, due to boundary gravitons the butterfly velocity is non-zero. Finally we observe that the butterfly velocity for third order Lovelock Gravity at the critical point in 
is less than the butterfly velocity for Einstein–Gauss–Bonnet Gravity at the critical point in which is less than the butterfly velocity in D = 7 for Einstein Gravity, 
. Maybe we can conclude that by adding higher order curvature corrections to Einstein Gravity the butterfly velocity decreases.
© The Author(s), 2018
