Holographic dark energy in modified Barrow cosmology

Abstract

Thermodynamics-Gravity conjecture implies that there is a deep connection between the gravitational field equations and the first law of thermodynamics. Therefore, any modification to the entropy expression, directly modifies the field equations. By considering the modified Barrow entropy associated with the apparent horizon, the Friedmann equations get modified as well. In this paper, we reconsider the holographic dark energy (HDE) model when the entropy is in the form of Barrow entropy. This modification to the entropy not only changes the energy density of HDE, but also modifies the Friedmann equations. Therefore, one should take into account the modified HDE in the context of modified Friedmann equations. We study the Hubble horizon and the future event horizon as IR cutoffs, and investigate the cosmological consequences of this model. We also extend our study to the case where dark matter (DM) and dark energy (DE) interact with each other. We observe that Barrow exponent $\delta$ significantly affects the cosmological behavior of HDE, and in particular the equation of state (EoS) parameter can cross the phantom line $(w_{de}<-1)$. Also adding $\delta$ remarkably affects the deceleration parameter, and shifts the time of universe phase transition.

8 pages, 11 figures, two columns format

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• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• Investigation of generalised uncertainty principle effects on FRW cosmology
• Holographic dark energy in Barrow cosmology with Granda-Oliveros IR cutoff
• Interacting Barrow Holographic Dark Energy in Non-flat Universe
• Barrow holographic dark energy interacting model in the presence of radiation and matter
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• Hints Beyond $\Lambda$CDM from Barrow and Tsallis Holographic Dark Energy with GO cutoff
• Exponential correction to Friedmann equations
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy
• Friedmann equations from GUP-modified equipartition law
• A Combined Barrow Entropy and QCD Ghost Mechanism for Late-Time Cosmic Acceleration