Holographic Thermalization and Generalized Vaidya-AdS Solutions in Massive Gravity

Abstract

We investigate the effect of massive graviton on the holographic thermalization process. Before doing this, we first find out the generalized Vaidya-AdS solutions in the de Rham-Gabadadze-Tolley (dRGT) massive gravity by directly solving the gravitational equations. Then, we study the thermodynamics of these Vaidya-AdS solutions by using the Minsner-Sharp energy and unified first law, which also shows that the massive gravity is in a thermodynamic equilibrium state. Moreover, we adopt the two-point correlation function at equal time to explore the thermalization process in the dual field theory, and to see how the graviton mass parameter affects this process from the viewpoint of AdS/CFT correspondence. Our results show that the graviton mass parameter will increase the holographic thermalization process.

arXiv comment15 pages, 2 figures, version published in PLB

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• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
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• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
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• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
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• Rotating black string in dRGT massive gravity
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• Topological Defects Formation with Momentum Dissipation
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• The holographic p+ip solution failed to win the competition in dRGT massive gravity
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• Probes of holographic thermalization in a simple model with momentum relaxation
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• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Towards a sound massive cosmology
• Spherical gravitational waves and quasi-spherical waves scattered from black string in massive gravity
• Effect of massive potentials on the holographic thermalization