A Fast and Accurate Algorithm for Computing Tensor CBR Anisotropy

Details A Fast and Accurate Algorithm for Computing Tensor CBR Anisotropy A Fast and Accurate Algorithm for Computing Tensor CBR Anisotropy

1995-12-20

arxiv.org/abs/astro-ph/9512140v1

Phys.Rev. D53 (1996) 5727-5733

Astronomy and Astrophysics

Astrophysics

LaTeX with psfig, 21 pages including 3 figures. The corresponding fortran program is available at http://fnas08.fnal.gov/. Sub

Scientific paper

10.1103/PhysRevD.53.5727

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 formulae for computing the predicted variance of the multipole moments in terms of the cosmological parameters $\Omega_\Lambda$, $\Omega_0h^2$, $\Omega_B h^2$, $N_{\nu}$, and the power-law index $n_T$ which are accurate to about 1\% for $l\le 50$ and to better than 3\% for $50< l \le 100$ (as compared to the numerical results of a Boltzmann code).

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