Higher dimensional nonlinear massive gravity

Abstract

Inspired by a recent ghost-free nonlinear massive gravity in four-dimensional spacetime, we study its higher dimensional scenarios. As a result, we are able to show the constant-like behavior of massive graviton terms for some well-known metrics such as the Friedmann-Lemaitre-Robertson-Walker, Bianchi type I, and Schwarzschild-Tangherlini-(A)dS metrics in a specific five-dimensional nonlinear massive gravity under an assumption that its fiducial metrics are compatible with physical ones. In addition, some simple cosmological solutions of the five-dimensional massive gravity will be figured out consistently.

20 pages, no figure. Some discussions on the Schwarzschild-Tangherlini-(A)dS black holes and references are added. Comments are welcome

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Cited by in corpus (30)

• Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Criticality and extended phase space thermodynamics of AdS black holes in higher curvature massive gravity
• Holographic Thermalization and Generalized Vaidya-AdS Solutions in Massive Gravity
• Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions
• Higher dimensional massive bigravity
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Fermions tunneling from higher-dimensional charged AdS black hole in dRGT massive gravity within modified dispersion relation
• Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity
• Holographic conductivity in the massive gravity with power-law Maxwell field
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional massive gravity
• Charged black hole chemistry with massive gravitons
• Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• The effects of massive graviton on the equilibrium between the black hole and radiation gas in an isolated box
• Black String in Massive Gravity
• Disformal couplings in a $\Lambda$CDM background cosmology
• Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Charged black holes in the Einstein-Maxwell-Weyl gravity
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• On five-dimensional massive (bi-)gravity
• Constraining disformal couplings with Redshift Space Distortion
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity