Gravitational wave probes of Barrow cosmology with LISA standard sirens

TL;DR

This paper explores how the Barrow cosmological model, incorporating quantum gravity effects and fractal horizon structures, can be tested with gravitational wave standard sirens from LISA to improve understanding of cosmic expansion and the Hubble tension.

Contribution

It derives modified field equations from thermodynamics principles within Barrow cosmology and assesses their observational viability using current data and future LISA standard siren projections.

Findings

Barrow cosmology shows a modest improvement in the Hubble tension.

Inclusion of LISA data tightens constraints on the deformation parameter.

Barrow model with phantom dark energy aligns better with some observations.

Abstract

We study the Barrow cosmological model, which proposes that quantum gravity effects create a complex, fractal structure for the universe's apparent horizon. We leverage the thermodynamics - gravity conjecture. By applying the Clausius relation to the apparent horizon of the Friedmann - Lema\^itre - Robertson - Walker universe within this framework, we derive modified field equations where the Barrow entropy is linked to the horizon. We assess the Barrow cosmology against current observations - cosmic microwave background , supernovae , and baryon acoustic oscillations data - and include projections for future Laser Interferometer Space Antenna (LISA) standard sirens (SS). Our numerical results suggest a modest improvement in the Hubble tension for Barrow cosmology with phantom dark energy behavior, compared to the standard cosmological model. Furthermore, incorporating simulated LISA SS data alongside existing observational constraints tightens the limitations on cosmological parameters, particularly the deformation exponent.