Black string in dRGT massive gravity

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. Moreover, the dRGT black string solution includes 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. 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.

Deflection of light by black holes and massless wormholes in massive gravity

“…Black hole solutions and their thermodynamical properties have been analyzed in dRGT massive gravity [37][38][39][40]. Katsuragawa et al [41] devised a neutron star model that demonstrated that massive gravity dynamics deviates only slightly from GR.…”

Quasinormal modes of black strings in de Rham–Gabadadze–Tolley massive gravity

“…In the negative Λ case, the black string only has one event horizon. In a generic set-up where the ǫ term in the metric (13) is nonzero, the number of horizon structure in negative Λ case will be different from ours [17].…”

“…However, this is not the case for neutral black string with positive Λ. Without the charge term, the metric (13) cannot develop a naked singularity or extremal scenario (for charged black string [17], naked singularity can exist just like in the black hole case). Note that throughout this work, ǫ will be fixed to zero [19].…”

“…The Einstein field equations (9) admits cylindrically symmetric solution or "dRGT black string" in the absence of scalar field, i.e., T Φ µν = 0. The dRGT black string solution is defined as [17]…”

“…In higher dimensions, black branes and strings can exist and their stability can be explored using the QNMs [16]. As a generalization of Lemos's black string, static solution with cylindrical symmetry is found in dRGT massive gravity [17]. Unlike the black string in general relativity, there exists dRGT black string solution even with a positive cosmological constant effectively contributed by the graviton mass.…”