Abstract

In this paper, we concern about applying general relativistic tests on the spacetime produced by a static black hole associated with cloud of strings, in a universe filled with quintessence. The four tests we apply are precession of the perihelion in the planetary orbits, gravitational redshift, deflection of light, and the Shapiro time delay. Through this process, we constrain the spacetime’s parameters in the context of the observational data, which results in about sim 10^{-9} for the cloud of strings parameter, and sim 10^{-20} m^{-1} for that of quintessence. The response of the black hole to the gravitational perturbations is also discussed.

Highlights

  • On the other hand, taking into account the cosmological dynamics, the evolution of black holes can be affected by the dark side of the universe, in which they reside. This process has been discussed extensively in the context of general relativity and alternative theories of gravity. Such calculations would add a dark component to the black hole spacetime under consideration, which is inferred from the cosmological energymomentum constituents

  • The solution (3) can be regarded as a static black hole spacetime surrounded by a cloud of strings, that is located in a universe filled with quintessential dark energy

  • We studied the astrophysical implications of a Schwarzschild black hole which is associated with cloud of strings and quintessence

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Summary

The black hole solution in the dark background

The last term resembles the dark matter-related term included in the Mannheim–Kazanas static spherically symmetric solution to the vacuum Bach equations, which is proposed to recover the flat galactic rotation curves [26] In this sense, the parameter γ can be related to both the dark matter/energy constituents of the spacetime, based on its value (for smaller values, it is mostly related to dark matter). The solution (3) can be regarded as a static black hole spacetime surrounded by a cloud of strings, that is located in a universe filled with quintessential dark energy. We continue our discussion by inspecting the astrophysical implications of this black hole spacetime through its parameters, by means of the observational and experimental data inferred from standard general relativistic tests These include, the precession of perihelion in the planetary orbits and the deflection of light

Astrophysical implications
The advance of the perihelion
R 3 dt
Gravitational redshift
Deflection of light
Gravitational time delay
Summary and the concluding remarks
Full Text
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