Gravitational wave spectrum induced by primordial scalar perturbations

被引:533
作者
Baumann, Daniel [1 ]
Steinhardt, Paul [1 ,2 ]
Takahashi, Keitaro [1 ]
Ichiki, Kiyotomo [3 ]
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[2] Princeton Univ, Princeton Ctr Theoret Phys, Princeton, NJ 08544 USA
[3] Univ Tokyo, Res Ctr Early Universe, Bunkyo Ku, Tokyo 1130033, Japan
关键词
D O I
10.1103/PhysRevD.76.084019
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and general relativity and is, in this sense, independent of the cosmological model for generating the perturbations. The spectrum is scale invariant on small scales, but has an interesting scale dependence on large and intermediate scales, where scalar-induced gravitational waves do not redshift and are hence enhanced relative to the background density of the Universe. This contribution to the tensor spectrum is significantly different in form from the direct model-dependent primordial tensor spectrum and, although small in magnitude, it dominates the primordial signal for some cosmological models. We confirm our analytical results by direct numerical integration of the equations of motion.
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页数:13
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