Abstract
In this paper, we investigate circular orbits for test particles around the Schwarzschild–de Sitter (dS) black hole surrounded by perfect fluid dark matter. We determine the region of circular orbits bounded by innermost and outermost stable circular orbits. We show that the impact of the perfect fluid dark matter shrinks the region where circular orbits can exist as the values of both innermost and outermost stable circular orbits decrease. We find that for specific lower and upper values of the dark matter parameter there exist double matching values for inner and outermost stable circular orbits. It turns out that the gravitational attraction due to the dark matter contribution dominates over cosmological repulsion. This gives rise to a remarkable result in the Schwarzschild–de Sitter black hole surrounded by dark matter field in contrast to the Schwarzschild–de Sitter metric. Finally, we study epicyclic motion and its frequencies with their applications to twin peak quasi-periodic oscillations (QPOs) for various models. We find the corresponding values of the black hole parameters which could best fit and explain the observed twin peak QPO object GRS 1915+109 from microquasars.
Highlights
Candidates till the discovery of gravitational waves has been announced as a result of two stellar black hole mergers [1,2] via LIGO-VIRGO detection and the first supermassive M87 black hole image under Collaboration of the Event Horizon Telescope (EHT) [3,4]
We study the stability of circular orbits for test particles orbiting around a Schwarzschild– de Sitter black hole surrounded by perfect fluid dark matter
We consider the possible frequencies of twin peak quasi-periodic oscillations (QPOs) around the Schwarzschild–de Sitter black hole surrounded by perfect fluid dark matter field and compare the obtained results with the one in Schwarzschild and Kerr black hole cases for twin peak QPOs [83,84]:
Summary
Since particles and even photons get affected drastically due to the strong gravitational field of black hole and exotic compact objects, their motion has been thoroughly investigated for several years with great interest. The principal aim of this present paper is to consider the mentioned realistic scenarios and their combined effect to the study of epicyclic motion and its applications to the quasiperiodic oscillations (QPOs) around the Schwarzschild–de Sitter black holes surrounded by perfect fluid dark matter. This is what we wish to demonstrate in this paper by studying particle motion in the black hole metric described by the line element proposed in [38,76]. From the above equation the horizon radius rh increases as the cosmological constant Λ is introduced, while it decreases once the dark matter field λ is taken into account
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