PHYSICAL APPLICATION OF THE SPHERICAL SOLUTION OF THE RICCI FLOW EQUATION IN FOUR DIMENSIONAL SPACETIME
The Ricci flow (RF) is a flow equation which describe a diffusive process acting on the Riemannian metric driven by its Ricci curvature. This equation was introduced by Richard Hamilton in 1982 as a tool for proving the Thurston's geometrization conjecture for closed 3-manifolds. The equation c...
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Format: | Theses |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/11751 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | The Ricci flow (RF) is a flow equation which describe a diffusive process acting on the Riemannian metric driven by its Ricci curvature. This equation was introduced by Richard Hamilton in 1982 as a tool for proving the Thurston's geometrization conjecture for closed 3-manifolds. The equation can be applied in general relativity. Solution of the RF equation is a Schwarzschild-de Sitter which evolves linearly in non-coordinate parameter T (tau). We study some physical application of the solution concerning light bending, perihelion precession, and surface gravity of black hole. |
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