https://doi.org/10.1140/epjc/s10052-022-10250-y
Regular Article - Theoretical Physics
Surface terms of quintic quasitopological gravity and thermodynamics of quasi-topological magnetic brane coupled to nonlinear electrodynamics
1
Department of Physics, Jahrom University, P. O. Box 74137-66171, Jahrom, Iran
2
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran
Received:
2
January
2021
Accepted:
24
March
2022
Published online:
18
April
2022
For the the quintic quasitopological action which has no well-defined variational principle, we introduced a surface term that for a spacetime with flat boundaries make the action well-defined. Moreover, we investigated the numerical solutions of the above-mentioned gravity coupled to the nonlinear logarithmic and exponential electrodynamics. It has no horizon and curvature except one conical singularity at 
with a deficit angle 
. Also we found the counterterm which removes non-logarithmic divergences for the static quintic quasitopological gravity. Using this counterterm one can calculate a finite action and conserved quantities for the quintic quasitopological gravity.
© The Author(s) 2022
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