Fast and accurate algorithm for computing tensor CBR anisotropy

May 1996 • 1996PhRvD..53.5727T

Authors • Turner, Michael S. • Wang, Yun

Abstract • Inflation gives rise to a nearly scale-invariant spectrum of tensor perturbations (gravitational waves); their contribution to the cosmic background radiation (CBR) anisotropy depends upon the present cosmological parameters as well as inflationary parameters. The analysis of a sampling-variance-limited CBR map offers the most promising means of detecting tensor perturbations, but will require evaluation of the predicted multipole spectrum for a very large number of cosmological parameter sets. We present accurate polynomial formulas for computing the predicted variance of the multipole moments in terms of the cosmological parameters Ω_Λ, Ω₀h², Ω²_Bh, N_ν, and the power-law index n_T which are accurate to about 1% for l<=50 and to better than 3% for 50<l<=100 (as compared to the numerical results of a Boltzmann code).

Links

• PREPRINT http://arxiv.org/abs/astro-ph/9512140
• SPIRES http://inspirehep.net/search?p=find+j+PHRVA,D53,5727
• ELECTR http://link.aps.org/doi/10.1103/PhysRevD.53.5727
• SPIRES http://inspirehep.net/search?p=find+eprint+astro-ph/9512140