Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum

Details Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum

2002-03-21

arxiv.org/abs/gr-qc/0203069v1

Prog.Theor.Phys. 107 (2002) 967-992

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages. No figures. Used PTP macros. To appear on Prog. Theor. Phys., Vol. 107, No. 5, May 2002

Scientific paper

10.1143/PTP.107.967

A new version of the Teukolksy Master Equation, describing any massless field of different spin $s=1/2,1,3/2,2$ in the Kerr black hole, is presented here in the form of a wave equation containing additional curvature terms. These results suggest a relation between curvature perturbation theory in general relativity and the exact wave equations satisfied by the Weyl and the Maxwell tensors, known in the literature as the de Rham-Lichnerowicz Laplacian equations. We discuss these Laplacians both in the Newman-Penrose formalism and in the Geroch-Held-Penrose variant for an arbitrary vacuum spacetime. Perturbative expansion of these wave equations results in a recursive scheme valid for higher orders. This approach, apart from the obvious implications for the gravitational and electromagnetic wave propagation on a curved spacetime, explains and extends the results in the literature for perturbative analysis by clarifying their true origins in the exact theory.

Affiliated with

Also associated with

No associations

Rating

Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Teukolsky Master Equation: De Rham wave equation for the gravitational and electromagnetic fields in vacuum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665082