Vector and Tensor Radiation from Schwarzschild Relativistic Circular Geodesics

Physics

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Scientific paper

For the case of high multipoles we give an analytic form of the spectrum of gravitational and electromagnetic radiation produced by a particle in a highly relativistic orbit r0=(3+δ)M around a Schwarzschild black hole of mass M. The general dependence of the power spectrum on the frequency in all three spin cases (s=0 for scalar, s=1 for vector, and s=2 for tensor fields) are summarized by power P~ω1-sexp(-2ωωcrit). Although they have the common feature of an exponential cutoff above a certain frequency ωcrit=(4πδ)ω0, where ω0 is the frequency of the orbit, the tensor case has a much broader frequency spectrum than scalar or vector radiation.

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