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Phys. Rev. D 57, 3290–3301 (1998)

Complete treatment of CMB anisotropies in a FRW universe

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Wayne Hu1, Uroš Seljak2, Martin White3, and Matias Zaldarriaga4
1Institute for Advanced Study, School of Natural Sciences, Princeton, New Jersey 08540
2Harvard Smithsonian Center For Astrophysics, Cambridge, Massachusetts 02138
3Departments of Physics and Astronomy, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
4Department of Physics, MIT, Cambridge, Massachusetts 02139

Received 10 September 1997; published in the issue dated 15 March 1998

We generalize the total angular momentum method for computing cosmic microwave background anisotropies to Friedmann-Robertson-Walker (FRW) spaces with arbitrary geometries. This unifies the treatment of temperature and polarization anisotropies generated by scalar, vector and tensor perturbations of the fluid, seed, or a scalar field, in a universe with constant comoving curvature. The resulting formalism generalizes and simplifies the calculation of anisotropies and, in its integral form, allows for a fast calculation of model predictions in linear theory for any FRW metric.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.3290
DOI:
10.1103/PhysRevD.57.3290
PACS:
98.70.Vc, 98.80.Es