https://doi.org/10.1140/epjc/s10052-019-7111-y
Regular Article - Theoretical Physics
Signatures of primordial gravitational waves in matter power spectrum
National Astronomical Observatories, Chinese Academy of Sciences, 20A Datun Road, Beijing, 100012, China
* e-mail: wangke@itp.ac.cn
Received:
17
May
2019
Accepted:
3
July
2019
Published online:
11
July
2019
We simulate the evolution of a dust universe from 
to 
by numerically integrating the Einstein’s equation for a spatially flat Friedmann–Lemaire–Robertson–Walker (FLRW) background spacetime with scalar perturbations which are derived from the matter power spectrum produced with the Code for Anisotropies in the Microwave Background (CAMB). To investigate the effects of primordial gravitational waves (GWs) on the inhomogeneity of the universe, we add an additional decaying, divergenceless and traceless primordial tensor perturbation with its initial amplitude being 
to the above metric. We find that this primordial tensor perturbation suppresses the matter power spectrum by about 
at for modes with wave number similar to its. This suppression may be a possible probe of a GWs background in the future.
© The Author(s), 2019
