In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
Black String in dRGT Massive Gravity
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abstract
We present a cylindrically symmetric solution, both charged and uncharged, which is known as a black string solution to the nonlinear ghost-free massive gravity found by de Rham, Gabadadze, and Tolley (dRGT). This "dRGT black string" can be thought of as a generalization of the black string solution found by Lemos \cite{1}. Moreover, the dRGT black string solution also include other classes of black string solution such as the monopole-black string ones since the graviton mass contributes to the global monopole term as well as the cosmological constant term. To investigate the solution, we compute mass, temperature, and entropy of the dRGT black string. We found that the existence of the graviton mass drastically affects the thermodynamics of the black string. Furthermore, the Hawking-Page phase transition is found to be possible for the dRGT black string as well as the charged dRGT black string. In terms of their stability, the dRGT black string solution is thermodynamically stable for $r>r_c$ with negative thermodynamical potential and positive heat capacity while it is unstable for $r<r_c$ where the potential is positive.
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Exact cylindrically symmetric black-hole and black-string solutions sourced by the Dekel-Zhao DM profile exhibit horizon disappearance above a critical inner slope and curvature singularities absent in the vacuum case.
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
citing papers explorer
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Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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Cylindrically Symmetric Black Holes Sourced by Dekel-Zhao Dark Matter
Exact cylindrically symmetric black-hole and black-string solutions sourced by the Dekel-Zhao DM profile exhibit horizon disappearance above a critical inner slope and curvature singularities absent in the vacuum case.
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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.