Quasinormal mode and spectroscopy of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity

Abstract

We obtain the solution of a static spherically symmetric black hole surrounded by a cloud of strings in Rastall gravity and study the influence of the parameter $a$ associated with strings on the event horizon and the Hawking temperature. Through analyzing the black hole metric, we find that the static spherically symmetric black hole solution surrounded by a cloud of strings in Rastall gravity can be transformed into the static spherically symmetric black hole solution surrounded by quintessence in Einstein gravity when the parameter $\beta$ of Rastall gravity is positive, which provides a possibility for the string fluid to be a candidate of dark energy. We use the method of Regge and Wheeler together with the high order WKB-Padé approximation to calculate the quasinormal mode frequencies of the odd parity gravitational perturbation and simultaneously apply the unstable null geodesics of black holes to compute the quasinormal mode frequencies at the eikonal limit for this black hole model. The results show that the increase of the parameter $a$ makes the gravitational wave decay slowly in Rastall gravity. In addition, we utilize two methods, which are based on the adiabatic invariant integral and the periodic property of outgoing waves, respectively, to derive the area spectrum and entropy spectrum of the black hole model. The results show that the area spectrum and entropy spectrum are equidistant spaced. The former is same as the case of Einstein gravity, while the latter is different, depending on the Rastall parameter $\beta$.

arXiv commentv1: 24 pages, 12 figures, 3 tables; v2: 25 pages, clarifications added in section 4; v3: 32 pages, 20 figures, 4 tables, clarifications and references added, final version to appear in Physical Review D

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Cited by in corpus (16)

• Quasinormal Modes of Black Holes with Non-Linear-Electrodynamic sources in Rastall Gravity
• Shadow and Photon Sphere of Black Hole in Clouds of Strings and Quintessence
• Quasinormal Modes of Non-Linearly Charged Black Holes surrounded by a Cloud of Strings in Rastall Gravity
• Gravity Effects on Hawking Radiation from Charged Black Strings in Rastall Theory
• Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity
• Bardeen solution with a cloud of strings
• Quasinormal Modes and Greybody factors of de Sitter Black holes surrounded by Quintessence in Rastall gravity
• Thermodynamics of a newly constructed black hole coupled with nonlinear electrodynamics and cloud of strings
• Shadow, absorption and Hawking radiation of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity
• Quasinormal modes, temperatures and greybody factors of black holes in a generalized Rastall gravity theory
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• Probing the parameters of a Schwarzschild black hole surrounded by quintessence and cloud of strings through four standard astrophysical tests
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
• The Dirac oscillator in the curved spacetime of a cloud of strings