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We study third order Lovelock Gravity in D = 7 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 butter
y velocity for this theory at the critical
point by considering 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 butter
y velocity is non-zero. Finally we observe that butter
y velocity
for third order Lovelock Gravity at critical point in D = 7 is less than butter
y velocity
for Einstein-Gauss-Bonnet Gravity at critical point in D = 7 which is less than butter
y
velocity in D = 7 for Einstein Gravity, vE:H
B > vE:G:B
B > v3rd Lovelock
B . Maybe we can
conclude that with adding higher order curvature corrections to Einstein Gravity the
butter
y velocity decreases.
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