Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity

Abstract

Among the various possibilities to probe the theory behind the recent accelerated expansion of the universe, the energy conditions (ECs) are of particular interest, since it is possible to confront and constrain the many models, including different theories of gravity, with observational data. In this context, we use the ECs to probe any alternative theory whose extra term acts as a cosmological constant. For this purpose, we apply a model-independent approach to reconstruct the recent expansion of the universe. Using Type Ia supernova, baryon acoustic oscillations and cosmic-chronometer data, we perform a Markov Chain Monte Carlo analysis to put constraints on the effective cosmological constant ${\Omega }_{\mathrm{eff}}^0$. By imposing that the cosmological constant is the only component that possibly violates the ECs, we derive lower and upper bounds for its value. For instance, we obtain that $0.59<{\Omega }_{\mathrm{eff}}^0<0.91$ and $0.40<{\Omega }_{\mathrm{eff}}^0<0.93$ within, respectively, $1\sigma$ and $3\sigma$ confidence levels. In addition, about 30\% of the posterior distribution is incompatible with a cosmological constant, showing that this method can potentially rule it out as a mechanism for the accelerated expansion. We also study the consequence of these constraints for two particular formulations of the bimetric massive gravity. Namely, we consider the Visser's theory and the Hassan and Roses's massive gravity by choosing a background metric such that both theories mimic General Relativity with a cosmological constant. Using the ${\Omega }_{\mathrm{eff}}^0$ observational bounds along with the upper bounds on the graviton mass we obtain constraints on the parameter spaces of both theories.

11 pages, 4 figures, 1 table

References in corpus (32)

• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• f(R,T) gravity
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Dark Energy and the Accelerating Universe
• Resummation of Massive Gravity
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: First measurement of Baryon Acoustic Oscillations between redshift 0.8 and 2.2
• Infrared-modified gravities and massive gravitons
• Energy conditions in f(R)-gravity
• Graviton Mass Bounds
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Generalized energy conditions in Extended Theories of Gravity
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Bimetric gravity is cosmologically viable
• Energy Conditions and Cosmic Acceleration
• Massive gravity from bimetric gravity
• Gödel-type universes in f(R) gravity
• Particular Solutions in Bimetric Theory and Their Implications
• Null Energy Condition violations in bimetric gravity
• Cosmological viability of massive gravity with generalized matter coupling
• Energy conditions bounds and their confrontation with supernovae data
• Massive Gravity in Minkowski Space via Gravitational Higgs Mechanism
• A solution for galactic disks with Yukawian gravitational potential
• Energy conditions bounds and supernovae data
• Dynamics and Constraints of the Massive Gravitons Dark Matter Flat Cosmologies
• Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity
• The conservation of energy-momentum and the mass for the graviton

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