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Invariance of cosmological number counts under disformal transformations

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Abstract

We investigate whether true physical observables associated with the measurements of large scale structure in the universe are frame-independent. In particular, we study if cosmological observables such as the galaxy number counts are invariant under the disformal transformations. In a previous work, it was shown that this frame-invariance holds true for the case of conformal transformations. In this work, we find that the invariance also holds true for the case of a simple disformal transformation. We further briefly comment on the disformal invariance of other cosmological observables.

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Data Availibility Statement

There is no new data generated or associated with this work.

Notes

  1. Note that the disformal transformation is not just a simple field redefinition because it involves derivatives of the scalar field.

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Acknowledgements

We would like to thank Ruth Durrer for very useful discussions and comments on the draft. BG acknowledges partial financial support from the CV Raman Postdoctoral Fellowship and the DST-INSPIRE Faculty Fellowship DST/INSPIRE/04/2020/001534. JF acknowledges financial support from the Swiss National Science Foundation. RKJ wishes to acknowledge financial support from the new faculty seed start-up grant of the Indian Institute of Science, Bengaluru, India, Science and Engineering Research Board, Department of Science and Technology, Government of India, through the Core Research Grant CRG/2018/002200 and the Infosys Foundation, Bengaluru, India through the Infosys Young Investigator award.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Science, CV Raman Road, Bengaluru, Karnataka, 560012, India

    Basundhara Ghosh & Rajeev Kumar Jain

  2. Department of Theoretical Physics and Center for Astroparticle Physics, University of Geneva, 24 quai Ernest Ansermet, 1211, Geneva, Switzerland

    Jérémie Francfort

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  1. Basundhara Ghosh
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Correspondence to Basundhara Ghosh.

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Ghosh, B., Francfort, J. & Jain, R.K. Invariance of cosmological number counts under disformal transformations. Eur. Phys. J. Plus 138, 660 (2023). https://doi.org/10.1140/epjp/s13360-023-04302-9

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