https://doi.org/10.1140/epjp/s13360-022-03379-y
Regular Article
Black holes in Einstein–Gauss–Bonnet gravity with a background of modified Chaplygin gas
College of Physics, Taiyuan University of Technology, 030024, Taiyuan, China
Received:
1
July
2022
Accepted:
10
October
2022
Published online:
21
October
2022
Supposing the existence of modified Chaplygin gas with the equation of state 
as a cosmic background, we obtain a static spherically symmetric solution to the Einstein–Gauss–Bonnet gravitational equations in 5D spacetime. The spacetime structure of the obtained black hole solution could be asymptotically anti-de Sitter or de Sitter, according to the specific values of modified Chaplygin gas parameters versus the cosmological constant. We analyze the parametric regions for both kinds of solutions. For asymptotically anti-de Sitter black hole, there exists the so-called small/large black hole phase transition, and we obtain critical values of pressure, volume and temperature and investigate the effects of both the Gauss–Bonnet gravity and the modified Chaplygin gas on these values. For asymptotically de Sitter black hole, no 
criticality and phase transition appear, and we show that the thermodynamic systems related to various horizons of asymptotically de Sitter black hole are in fact entangled.
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