Bhattacharyya, I.; Ray, S.; Khlopov, M.; Nag, R.; Nag, S.S. A Study of McVittie Spacetime in Stationary and Dynamical Regime. Fortschritte der Physik 2022, 70, 2200132, doi:10.1002/prop.202200132.
Bhattacharyya, I.; Ray, S.; Khlopov, M.; Nag, R.; Nag, S.S. A Study of McVittie Spacetime in Stationary and Dynamical Regime. Fortschritte der Physik 2022, 70, 2200132, doi:10.1002/prop.202200132.
Bhattacharyya, I.; Ray, S.; Khlopov, M.; Nag, R.; Nag, S.S. A Study of McVittie Spacetime in Stationary and Dynamical Regime. Fortschritte der Physik 2022, 70, 2200132, doi:10.1002/prop.202200132.
Bhattacharyya, I.; Ray, S.; Khlopov, M.; Nag, R.; Nag, S.S. A Study of McVittie Spacetime in Stationary and Dynamical Regime. Fortschritte der Physik 2022, 70, 2200132, doi:10.1002/prop.202200132.
Abstract
One of the solutions of the Einstein equations, called McVittie solution, signifying a black hole embedded by the dynamic spacetime is studied. In the stationary spacetime the Mcvittie metric becomes the Schwarzschild-de Sitter metric (SdS). The geodesic of a freely falling test particle towards the black hole is examined in the SdS spacetime. It is found that unlike Schwarzschild case the potential of such particle becomes maximum at a point where it eventually stops to follow an unstable circular motion and then resumes its motion towards black hole center. It is shown that an observer or system of particles is spaghettified near the black hole singularity in the SdS spacetime. The dynamic of the universe in the framework of McVittie metric, being a generalized time dependent SdS solution, is represented in terms of that point, called stationary or turning point. The motion of the stationary point is studied in various regimes of the expanding universe and the possible outcomes are discussed in brief.
Keywords
Einstein equations; McVittie solution; black hole; dark energy; embedded spacetime
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright:
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