2019/10/31 by Manuel Hohmann
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gauge anomaly #Gauge boson #Gauge covariant derivative #Gauge fixing #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Invariant (physics) #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Tetrad #Theoretical physics #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.101.024061
published as Phys. Rev. D 101, 024061 (2020) · LaTeX, 21 pages, no figures; published version
openalex publication_date 2020/01/31 · arxiv created 2020/02/04 · arxiv updated 2020/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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, as it is conventionally done in the PPN formalism, whose standard PPN gauge is determined only after the full solution is known. In addition to the usual metric formulation, we also present a tetrad formulation of the gauge-invariant PPN formalism. To illustrate their practical application, we demonstrate the calculation of the PPN parameters of a well-known scalar-tensor class of theories.