Parametrized Post-Newtonian Theory of Reference Frames, Multipolar Expansions and Equations of Motion in the N-body Problem
arXiv:gr-qc/0403068 · doi:10.1016/j.physrep.2004.08.004
Abstract
We discuss a covariant generalization of the parametrized post-Newtonian (PPN) formalism in a class of scalar-tensor theories of gravity. It includes an exact construction of a set of global and local (Fermi-like) references frames for an isolated N-body astronomical system as well as PPN multipolar decomposition of gravitational field in these frames. We derive PPN equations of translational and rotational motion of extended bodies taking into account all gravitational multipoles and analyze the body finite-size effects in relativistic dynamics that can be important at the latest stages of orbital evolution of coalescing binary systems. We also reconcile the IAU 2000 resolutions on the general relativistic reference frames in the solar system with the PPN equations of motion of the solar system bodies used in JPL ephemerides.
121 pages, 5 figures, references added, improvements made in response to referee's report
Cited by in corpus (42)
- A millisecond pulsar in a stellar triple system
- New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
- Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
- Nonrotating black hole in a post-Newtonian tidal environment
- Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
- Constraining the range of Yukawa gravity interaction from S2 star orbits
- Probing hybrid modified gravity by stellar motion around Galactic Centre
- Gravimagnetism, Causality, and Aberration of Gravity in the Gravitational Light-Ray Deflection Experiments
- A Modified Scalar-Tensor-Vector Gravity Theory and the Constraint on its Parameters
- Micro-arcsecond light bending by Jupiter
- Constraining Extended Gravity Models by S2 star orbits around the Galactic Centre
- 2PN Light Propagation in the Scalar-Tensor Theory: an -Point-Masses Case
- Testing Theories of Gravity with Planetary Ephemerides
- Post-Newtonian Approximation in Maxwell-Like Form
- Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star
- Second post-Newtonian approximation of scalar-tensor theory of gravity
- Post-Newtonian Celestial Dynamics in Cosmology: Field Equations
- Scalar-tensor propagation of light in the inner solar system at the millimetric level
- Prospects in the orbital and rotational dynamics of the Moon with the advent of sub-centimeter lunar laser ranging
- From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
- The Relativistic Factor in the Orbital Dynamics of Point Masses
- Second post-Newtonian approximation of Einstein-aether theory
- Effective stress-energy tensors, self-force, and broken symmetry
- New perturbative method for solving the gravitational N-body problem in the general theory of relativity
- Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution
- Covariant Equations of Motion of Extended Bodies with Arbitrary Mass and Spin Multipoles
- Accelerating relativistic reference frames in Minkowski space-time
- Space-time Dynamics Estimation from Space Mission Tracking Data
- The Erez-Rosen metric and the role of the quadrupole on light propagation
- Looking for a new test of general relativity in the solar system
- Shapiro Effect as a Possible Cause of the Low-Frequency Pulsar Timing Noise in Globular Clusters
- Dynamical perturbations around an extreme mass ratio inspiral near resonance
- The γ parameter in Brans-Dicke-like (light-)Scalar-Tensor theory with a universal scalar/matter coupling
- Normal gravity field in relativistic geodesy
- Solar system dynamics in general relativity
- Using global positioning systems to test extensions of General Relativity
- On the foundations of general relativistic celestial mechanics
- Post-Newtonian Lagrangian of an N-body System with Arbitrary Mass and Spin Multipoles
- Covariant Equations of Motion Beyond the Spin-Dipole Particle Approximation
- Constraints on a fifth force from the stellar orbits around the central supermassive black hole of the Milky Way
- Astronomical relativistic reference systems with multipolar expansion: the global one
- Relativistic framework for high-precision GNSS processing in GCRS/BCRS with extension to cislunar space