2004/12/27 by Ali Nayeri, Tuan Tran, Nayeri, Ali +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0412304
13 pages, no figure
arxiv created 2004/12/27 · arxiv updated 2009/12/01
We present a detailed analysis for the classical stability of a four dimensional Anti-de Sitter spacetime (AdS4) by decomposing the first-order perturbations of a spherical symmetric gravitational field into the so called tensor harmonics which transform as irreducible representative of the rotation group (Regge-Wheeler decomposition). It is shown that there is no nontrivial stationary perturbation for the angular momentum l < 2. The stability analysis forces the frequency of the gravitational modes to be constrained in a way that the frequency of scalar modes are constrained.