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Showing 1 to 7 of 7 for “"Schwarzschild metric."”.
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Signature change in spherical vacuum spacetimes
… (1, 2) by exploring signature changes in other metrics. The metrics we chose to investigate are the Schwarzschild metric and the Tolman metric. The Schwarzschild metric was originally chosen in order to investigate whether the neighborhood of the singularity inside a black hole can be replaced …
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Ricci Curvature of Finsler Metrics by Warped Product
… the present work, we consider a class of Finsler metrics using the warped product notion introduced by B. Chen, Z. Shen and L. Zhao (2018), with another “warping”, one that is consistent with the form of metrics modeling static spacetimes and simplified by spherical symmetry over spatial …
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Total mass of a patch of a matter-dominated Friedmann-Robertson-Walker universe
… mass for a patch of a spherically-symmetric matter-dominated spacetime of negative curvature. This calculation provides the open-universe analogue to a similar calculation first proposed by Zel'dovich in 1962. I consider a finite, spherically-symmetric (SO(3)) spatial region of a …
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Frequencies of Bound Geodesics, Angle of Deflection For Null Geodesics In Kerr Space-Time, and Gravitational Anomalies In Gravastars.
… showed that in General Relativity, for the Schwarzschild metric, this degeneracy is broken and the radial and azimuthal frequencies become distinct. We will show how in the Kerr space-time the third frequency also gets a separate value. We will derive analytic expressions for all the …
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Simulations of Dynamic Relativistic Magnetospheres
… test problem for dynamical behavior in the Schwarzschild metric is presented, and the evolutions of the magnetospheres surrounding neutron stars and black holes, in vacuum and in force-free plasma, are compared.
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Star Clusters and Dark Matter as Probes of the Spacetime Geometry of Massive Black Holes
<p>This thesis includes two main projects. In the first part, we assess the feasibility of a recently suggested strong-field general relativity test, in which future observations of a hypothetical class of stars orbiting very close to the supermassive black hole at the center of our galaxy, known …
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Effective loop quantization of black holes : a comparative analysis of quantization schemes.
Loop quantization of spherically symmetric black hole (BH) spacetimes has quantization ambiguities stemming from the choices (schemes) of the two polymerization parameters that characterize quantum corrections in effective loop quantum gravity (LQG). In this dissertation we systematically carry out …