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Propagation of gravitational waves in various cosmological backgrounds

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Abstract

The present work investigates some exact solutions of the gravitational wave equation in some widely used cosmological spacetimes. The examples are taken from spatially flat and closed isotropic models as well as Kasner metric which is anisotropic. Various matter distributions are considered, from the standard dust or radiation distribution to exotic matters like that with an equation of state \(P = - \frac{1}{3} \rho \). In almost all cases the frequency and amplitude of the wave are found to be decaying with evolution, except for a closed radiation universe where there is a resurgence of the waveform, consistent with the recollapse of the universe into the big crunch singularity.

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Authors and Affiliations

  1. Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata, Mohanpur, West Bengal, 741246, India

    Sushovan Mondal, Saif Ali, Shanima Shahul, Narayan Banerjee & Golam Mortuza Hossain

  2. Department of Theoretical Physics, The Institute of Mathematical Sciences, HBNI, Taramani, Chennai, Tamil Nadu, 600113, India

    Sushovan Mondal

  3. Department of Physics, The University of Texas at Dallas, 800 W. Campbell Road, Richardson, TX, 75080, USA

    Saif Ali

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  1. Sushovan Mondal
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  2. Saif Ali
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  3. Shanima Shahul
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  5. Golam Mortuza Hossain
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Correspondence to Narayan Banerjee.

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Mondal, S., Ali, S., Shahul, S. et al. Propagation of gravitational waves in various cosmological backgrounds. Gen Relativ Gravit 53, 64 (2021). https://doi.org/10.1007/s10714-021-02835-x

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