High-Order Perturbations of Spherical Spacetimes

Details High-Order Perturbations of Spherical Spacetimes High-Order Perturbations of Spherical Spacetimes

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1627b&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Scientific paper

We generalize the Gerlach and Sengupta (GS) formalism for linear perturbations of a spherical background to high orders. With this aim, we define tensor harmonics of any rank that reduce to the Regge-Wheeler-Zerilli (RWZ) harmonics for the low-rank cases. In addition, we provide a closed formula for the product of any pair of these tensor harmonics. We analyze the gauge invariance and describe an iterative procedure for the construction of high-order gauge-invariant objects. At second order, gauge-invariant variables and Einstein equations are explicitly obtained.

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