Hamiltonian Formulation of Scalar Field Collapse in Einstein Gauss Bonnet Gravity
Autor: | Gabor Kunstatter, Robert B. Mann, Tim Taves, C. D. Leonard |
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Jazyk: | angličtina |
Rok vydání: | 2011 |
Předmět: |
Physics
High Energy Physics - Theory Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics FOS: Physical sciences Equations of motion General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Gravitation symbols.namesake Hamiltonian constraint High Energy Physics - Theory (hep-th) Gauss–Bonnet gravity 0103 physical sciences symbols Circular symmetry 010306 general physics Hamiltonian (quantum mechanics) Scalar field Mathematical physics Gauge fixing |
Popis: | We compute the Hamiltonian for spherically symmetric scalar field collapse in Einstein-Gauss-Bonnet gravity in D dimensions using slicings that are regular across future horizons. We first reduce the Lagrangian to two dimensions using spherical symmetry. We then show that choosing the spatial coordinate to be a function of the areal radius leads to a relatively simple Hamiltonian constraint whose gravitational part is the gradient of the generalized mass function. Next we complete the gauge fixing such that the metric is the Einstein-Gauss-Bonnet generalization of non-static Painleve-Gullstrand coordinates. Finally, we derive the resultant reduced equations of motion for the scalar field. These equations are suitable for use in numerical simulations of spherically symmetric scalar field collapse in Gauss-Bonnet gravity and can readily be generalized to other matter fields minimally coupled to gravity. 14 pages, 0 figures |
Databáze: | OpenAIRE |
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