General Formula for the Momentum Imparted to Test Particles in Arbitrary Spacetimes

Abstract

Ehlers and Kundt have provided an approximate procedure to demonstrate that gravitational waves impart momentum to test particles. This was extended to cylindrical gravitational waves by Weber and Wheeler. Here a general, exact, formula for the momentum imparted to test particles in arbitrary spacetimes is presented.

6 pages

Cited by in corpus (47)

• Energy-Momentum in viscous Kasner-type Universe in Bergmann-Thomson Formulations
• Relative Energy-Momentum of the Bianchi-I Type Universes in Teleparallel Gravity
• Energy-Momentum in the Viscous Kasner-type Universe in Teleparallel Gravity
• Energy of the Universe in Bianchi-type I Models in Moller's Tetrad Theory of Gravity
• Energy distribution of 2+1 dimensional black holes with nonlinear electrodynamics
• Energy and Momentum of a Class of Rotating Gravitational Waves
• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Different Approaches for Moller's Energy in the Kasner-type Space-time
• On the energy of charged black holes in generalized dilaton-axion gravity
• The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Gravitational Energy-Momentum Density in Bianchi Type-II Space-times
• On the energy of Hořava-Lifshitz black holes
• A Proposal for Determining the Energy Content of Gravitational Waves by Using Approximate Symmetries of Differential Equations
• Energy Density Associated with the Bianchi Type-II Space-Time
• Energy Momentum Localization in Marder Space-Time
• The Relativistic Generalization of the Gravitational Force for Arbitrary Spacetimes
• Energy Distribution of the Universe in the Bianchi type II Cosmological Models
• Energy Contents of Gravitational Waves in Teleparallel Gravity
• Energy Momentum of Marder Universe in Teleparallel gravity
• The Momentum 4-Vector in Bulk Viscous Bianchi Type-V Space-time
• Energy Content of Colliding Plane Waves using Approximate Noether Symmetries
• Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle
• Energy Distribution of a Regular Class of Exact Black Hole Solutions
• Moller Energy-Momentum Prescription for a Locally Rotationally Symmetric Space-Time
• The Momentum 4-Vector Imparted by Gravitational Waves in Bianchi-type Metrics
• $f(T)$ gravity and energy distribution in Landau-Lifshitz prescription
• Energy-momentum Density of Gravitational Waves
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• Moller's Energy in the Dyadosphere of a Charged Black Hole
• Energy of a Charged Wormhole
• On the Energy-Momentum Problem in Static Einstein Universe
• On the Gravitational Energy Associated with Spacetimes of Diagonal Metric
• Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry
• Brane-World Black Holes and Energy-Momentum Vector
• An ASSF and the Teleparallelisim
• Teleparallel Gravitational Energy in the Gamma Metric
• Electric and Magnetic Black Hole Solutions of Moller's Four-Momentum
• Black holes/naked singularities in four-dimensional non-static space-time and the energy-momentum distributions
• Energy-momentum for a charged nonsingular black hole solution with a nonlinear mass function
• Spin Angular Momentum Imparted by Gravitational Waves
• Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World
• Energy of a Stringy Charged Black Hole in the Teleparallel Gravity
• On the Moller Energy Associated with Black Holes
• The Momentum Four-Vector in Brans-Dicke Wormholes
• Topological Black Holes and Momentum Four Vector
• The Lukash Plane-Wave Attractor and Relative Energy