Best values of parameters for interacting HDE with GO IR-cutoff in Brans-Dicke cosmology

Abstract

We investigate the interacting holographic dark energy (HDE) with Granda-Oliveros (GO) IR-cutoff in the framework of Brans-Dicke (BD) cosmology. We obtain the equation of state (EoS) parameter of HDE, $w_D$, the effective EoS parameter $w_{\mathrm{eff}}$, the deceleration parameter $q$ and the squared of sound speed $v_s^2$ in a flat FRW universe. We show that at late time the cosmic coincidence problem can be alleviated. Also we show that for non-interacting case, HDE can give a unified dark matter-dark energy profile in BD cosmology, except that it cannot solve the coincidence problem in the future. By studying the equation of state parameter, we see that the phantom divide may be crossed. Using the latest observational data, we calculate the best values of the parameters for interacting HDE in BD framework. Computing the deceleration parameter implies that the transition from deceleration to the acceleration phase occurred for redshift $z\ge 0.5$. Finally, we investigate the sound stability of the model, and find that HDE with GO cutoff in the framework of BD cosmology can lead to a stable DE-dominated universe favored by observations, provided we take $\beta =0.44$ and $b^2<0.35$. This is in contrast to HDE model in Einstein gravity which does not lead to a stable DE dominated universe.

20 pages, 10 figures

References in corpus (18)

• Dynamics of dark energy
• Infrared cut-off proposal for the Holographic density
• New infrared cut-off for the holographic scalar fields models of dark energy
• Entropic Accelerating Universe
• Instability of holographic dark energy models
• Instability of agegraphic dark energy models
• Dark energy: a quantum fossil from the inflationary Universe?
• Holographic dark energy in Brans-Dicke theory
• Interacting holographic dark energy in Brans-Dicke theory
• Interacting holographic dark energy
• LXCDM: a cosmon model solution to the cosmological coincidence problem?
• Three thermodynamically-based parametrizations of the deceleration parameter
• Holographic dark energy in Brans-Dicke cosmology with chameleon scalar field
• Observational signatures of Jordan-Brans-Dicke theories of gravity
• Holographic Dark Energy in Brans-Dicke Theory
• Black hole and holographic dark energy
• Coincidence Problem in $f(R)$ Gravity Models
• New holographic Chaplygin gas model of dark energy

Cited by in corpus (4)

• Barrow holographic dark energy in the Brans-Dicke cosmology
• Kaniadakis holographic dark energy in Brans-Dicke cosmology
• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• Hubble-rate-dependent Dark Energy in Brans-Dicke Cosmology