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Paper   IPM / Particles / 15879
School of Particles and Accelerator
  Title:   Thermodynamics of Static Solutions in (n+1)-dimensional Quintic Quasitopological gravity
1.  A Bazrafshan
2.  F Naeimipour
3.  Alireza Olamaei
4.  M Ghanaatian
  Status:   Published
  Journal: Phys. Rev. D
  No.:  124018
  Vol.:  100
  Year:  2019
  Supported by:  IPM
Based on the fact that some important theories like string and M-theories predict spacetime with higher dimensions, so, in this paper, we aim to construct a theory of quintic quasitopological gravity in higher dimensions (n ≥ 5). This (n+1)-dimensional quintic quasitopological gravity can also lead to the most second-order linearized field equations in the spherically symmetric spacetimes. These equations can not be solved exactly and so, we obtain a new class of (n+1)-dimensional static solutions with numeric methods. For large values of mass parameter m, these solutions yield to black holes with two horizons in AdS and flat spacetimes. For dS solutions, there are two values, mext and mcri, which yield to a black hole with three horizons for mext < m < mcri. We also calculate thermodynamic quantities for this black hole such as entropy and temperature and check the first law of thermodynamics. Finally, we analyze thermal stability of the (n+1)-dimensional static black hole at the horizon r+. Unlike dS solutions, AdS ones have thermal stability for each values of k, but flat solutions are stable with just k=1.

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