Relativistic effects in k-essence

TL;DR

This paper investigates relativistic effects in galaxy power spectra within k-essence dark energy models, highlighting their significance on large scales and the importance of relativistic modeling for future surveys.

Contribution

It demonstrates that relativistic effects are amplified in the angular power spectrum and can distinguish between different k-essence models, emphasizing the need for full relativistic analysis.

Findings

Relativistic corrections dominate on very large scales and grow with redshift.

Angular power spectrum enhances sensitivity to clustering k-essence effects.

Neglecting relativistic effects can bias estimates of dark energy deviations.

Abstract

Relativistic effects are sensitive to subtle changes in dark energy. These effects grow on very large scales and at high redshifts, which will be the reach of upcoming surveys. We investigate these effects in both the linear and the angular galaxy power spectra in a late-time universe dominated by cold dark matter and k-essence, focusing on three core models (dilaton, tachyon, and DBI scalar fields) and contrasting their predictions with those of the concordance model. By enforcing identical present-day cosmological parameters, we isolate the imprints of k-essence dynamics and perturbations on very large scales. We found that relativistic corrections dominate on very large scales and grow with redshift, but are largely insensitive to k-essence microphysics in Fourier space, leading to strong degeneracies among the models. However, in the angular power spectrum, where line-of-sight integrals are naturally included, relativistic effects are significantly amplified, yielding better sensitivity to clustering k-essence. In particular, the tachyon exhibits clear deviations across multipoles and redshifts, with distinct imprints in the Doppler and the combined (velocity and gravitational) potentials contributions. Furthermore, our results show that neglecting relativistic corrections can lead to systematic misestimation of deviations of k-essence from the cosmological constant. Our results show the relativistic angular galaxy power spectrum as a more consistent and robust probe of ultra-large-scale physics. These findings underscore the need for full relativistic modelling in next-generation surveys that are targeting horizon-scale modes, where the imprint of non-standard dark energy is most pronounced.