Energy spectrum of gravitational waves

Cai, Rong-Gen; Yang, Xing-Yu; Zhao, Long

doi:10.48550/arxiv.2109.06865

Cited by 3 publications

(3 citation statements)

References 37 publications

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“…Although we only showed an explicit calculation for vacuum asymptotic flat spacetime in linear order, our approach is valid for GWs with any wavelengths any order of perturbations. As a byproduct, with our approach the gauge dependence issue on the energy spectrum of GWs disappears naturally [42].…”

mentioning

confidence: 89%

On the energy of gravitational waves

Cai,

Yang,

Zhao

2021

Preprint

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The energy of gravitational waves (GWs) is a fundamental problem in gravity theory. The existing descriptions for the energy of GWs, such as the well-known Isaacson energy-momentum tensor, suffer from several defects. Due to the equivalence principle, the gravitational energy-momentum can only be defined quasilocally, being associated with a closed spacelike 2-surface bounding a region. We propose a new approach to derive the energy of GWs directly from the quasilocal gravitational energy. Such an approach is natural and consistent with the quasilocality of gravitational energymomentum, and it is valid for GWs with any wavelengths in any order of perturbations.

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mentioning

confidence: 89%

On the energy of gravitational waves

Cai,

Yang,

Zhao

2021

Preprint

Self Cite

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“…Usually, this spectrum is thought to depict the energy of GWs, but this is true only for GWs in linear order. For induced GWs, this spectrum should be understood simply as a function of the amplitude of GWs[43,44].…”

mentioning

confidence: 99%

Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations

Yang

Guo

Cai

2023

J. Cosmol. Astropart. Phys.

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There exist two kinds of stochastic gravitational-wave backgrounds associated with the primordial curvature perturbations. One is called induced gravitational wave due to the nonlinear coupling of curvature perturbations to tensor perturbations, while the other is produced by coalescences of binary primordial black holes formed when the large amplitude curvature perturbations reenter the horizon in the radiation dominant era. In this paper we find a quite useful relation for the peak frequencies of these two stochastic gravitational-wave backgrounds. This relation can not only offer a smoking-gun criterion for the existence of primordial black holes, but also provide a method for measuring the Hubble constant H 0 by multiband observations of the stochastic gravitational-wave backgrounds.

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“…Usually this spectrum is thought to depict the energy of GWs, but this is true only for GWs in linear order. For induced GWs, this spectrum should be understood simply as a function of amplitude of GWs[55,56].…”

mentioning

confidence: 99%

Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations

Liu,

Yang,

Guo

et al. 2021

Preprint

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Primordial curvature perturbations with a large enough amplitude on small scales can lead to two kinds of gravitational waves which are expected to be detected by multiband gravitational-wave observations. One is induced due to the nonlinear coupling of the curvature perturbation to tensor perturbation while the other is produced by coalescences of binary primordial black holes formed when the scalar perturbations reenter the horizon in the radiation dominant era. In this letter, we identify the relation of peak frequency for the spectra of such two stochastic gravitational-wave backgrounds. This peak frequency relation offers a new criterion for the existence of primordial black holes. Moreover, the relation provides a new method for measuring the Hubble constant H0 through multiband observations of stochastic gravitational-wave backgrounds. Such a method does not need the redshift information which is necessary in the standard siren method.

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Energy spectrum of gravitational waves

Cited by 3 publications

References 37 publications

On the energy of gravitational waves

On the energy of gravitational waves

Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations

Testing primordial black hole and measuring the Hubble constant with multiband gravitational-wave observations

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