“School of Particles”
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Paper IPM / Particles / 15879  


Abstract:  
Based on the fact that some important theories like string and Mtheories 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 secondorder 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, m_{ext} and m_{cri}, which yield to a black hole with three horizons for m_{ext} < m < m_{cri}. 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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