Essays about: "Geroch"

Found 2 essays containing the word Geroch.

1. 1. Spacetime as a Hamiltonian Orbit and Geroch's Theorem on the Existence of Fermions

   University essay from Uppsala universitet/Institutionen för fysik och astronomi

   Author : Viktor Bergstedt; [2020]
   Keywords : 3 1; ADM; black hole; canonical quantization; Cauchy surface; causality; differential geometry; Einstein-Hilbert action; general relativity; Geroch; globally hyperbolic; Hamilton s equations; numerical relativity; parallelizable; SL 2; C ; spacetime; spinor; spin structure; SO 1; 3 ; Stiefel-Whitney class; tetrad; topology;

   Abstract : Over a century since its inception, general relativity continues to lie at the heart of some of the most researched topics in theoretical physics. It seems likely that the coveted solutions to problems like quantum gravity are to be found in an extension of general relativity, one which may only be visible in an alternate formulation of the theory. READ MORE

3. 2. The GHP formalism, with applications to Petrov type III spacetimes

   University essay from Umeå universitet/Institutionen för fysik

   Author : Ekman Robin; [2014]
   Keywords : general relativity; spinors;

   Abstract : We give a review of the construction and application of spinor fields in general relativity and an account of the spinor-based Geroch-Held-Penrose (GHP) formalism. Specifically, we discuss using the GHP formalism to integrate Einstein's equations as suggested by Held  and developed by Edgar and Ludwig and discuss the similaritites with the Cartan-Karlhede classification of spacetimes. READ MORE