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GR: Fachverband Gravitation und Relativitätstheorie

GR 11: Alteranative Classical Theories of Gravitation

GR 11.2: Vortrag

Donnerstag, 2. April 2020, 14:15–14:30, H-HS V

Gauge-invariant approach to the parametrized post-Newtonian formalism — •Manuel Hohmann — University of Tartu, Tartu, Estonia

We present an approach to the parametrized post-Newtonian (PPN) formalism which is based on gauge-invariant higher order perturbation theory. This approach divides the components of the metric perturbations into gauge-invariant quantities, which carry information about the physical system under consideration, and pure gauge quantities, which describe the choice of the coordinate system. This separation generally leads to a simplification of the PPN procedure, since only the gauge-invariant quantities appear in the field equations and must be determined by solving them. Another simplification arises from the fact that the gauge-invariant approach supersedes the necessity to first choose a gauge for solving the gravitational field equations and later transforming the obtained solution into the standard PPN gauge. Both the metric and tetrad versions of the formalism are presented and applied to an example theory.