Cosmic microwave background with Brans-Dicke Gravity: I. Covariant Formulation
arXiv:0903.0384 · doi:10.1103/PhysRevD.82.083002
Abstract
In the covariant cosmological perturbation theory, a 1+3 decomposition ensures that all variables in the frame-independent equations are covariant, gauge-invariant and have clear physical interpretations. We develop this formalism in the case of Brans-Dicke gravity, and apply this method to the calculation of cosmic microwave background (CMB) anisotropy and large scale structures (LSS). We modify the publicly available Boltzmann code CAMB to calculate numerically the evolution of the background and adiabatic perturbations, and obtain the temperature and polarization spectra of the Brans-Dicke theory for both scalar and tensor mode, the tensor mode result for the Brans-Dicke gravity are obtained numerically for the first time. We first present our theoretical formalism in detail, then explicitly describe the techniques used in modifying the CAMB code. These techniques are also very useful to other gravity models. Next we compare the CMB and LSS spectra in Brans-Dicke theory with those in the standard general relativity theory. At last, we investigate the ISW effect and the CMB lensing effect in the Brans-Dicke theory. Constraints on Brans-Dicke model with current observational data is presented in a companion paper (paper II).
17 double column pages, 11 figures. Replaced with revised version, tensor modes, ISW effect now included
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Cited by in corpus (12)
- Modified Gravity and Cosmology
- Testing General Relativity in Cosmology
- Cosmic microwave background with Brans-Dicke gravity II: constraints with the WMAP and SDSS data
- CMB and BAO constraints for an induced gravity dark energy model with a quartic potential
- Constraints on the Brans-Dicke gravity theory with the Planck data
- The minimally extended Varying Speed of Light (meVSL)
- New Agegraphic Dark Energy in Brans-Dicke Theory
- Spatial Ricci scalar dark energy model
- Cosmological constraint on Brans-Dicke Model
- Cosmological test of an extended quintessence model
- Constraining Brans-Dicke cosmology with the CSST galaxy clustering spectroscopic survey
- A simple prediction of the nonlinear matter power spectrum in Brans-Dicke gravity from linear theory