The Gravitational Field of a Radiating Electromagnetic Dipole

Details The Gravitational Field of a Radiating Electromagnetic Dipole The Gravitational Field of a Radiating Electromagnetic Dipole

2008-07-22

arxiv.org/abs/0807.3537v1

Class.Quant.Grav.25:245005,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17

Scientific paper

10.1088/0264-9381/25/24/245005

We begin with the time-dependent electric and magnetic dipole solution of Maxwell's equations in Minkowski space. This Maxwell field is then used to determine the behavior of the gravitational field (the Weyl tensor) as a second-order perturbation off of the Minkowski background. From the Weyl tensor we go on and find the spin-coefficients and the full metric in this approximation. The physical meaning of many of the relations is discussed. In particular we can identify the conservation law of angular momentum that contains an angular momentum flux term.

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