Spin and Center of Mass in Axially Symmetric Einstein-Maxwell Spacetimes

Abstract

We give a definition and derive the equations of motion for the center of mass and angular momentum of an axially symmetric, isolated system that emits gravitational and electromagnetic radiation. A central feature of this formulation is the use of Newman-Unti cuts at null infinity that are generated by worldlines of the spacetime. We analyze some consequences of the results and comment on the generalization of this work to general asymptotically flat spacetimes.

20 pages

References in corpus (3)

• Null Geodesic Congruences, Asymptotically Flat Space-Times and Their Physical Interpretation
• NSF 2.0: A spin weight zero formulation of General Relativity
• Newton's 2nd Law, Radiation Reaction & Type II Einstein-Maxwell Fields

Cited by in corpus (4)

• Spin and Center of mass comparison between the PN approach and the asymptotic formulation
• Intrinsic angular momentum for radiating spacetimes which agrees with the Komar integral in the axisymmetric case
• Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime
• Summary of session A4: Complex and conformal methods in classical and quantum gravity