The $\mu$-deformed Einstein field equations with $\mu$-dependent effective cosmological constant

Abstract

In this paper, we derive the $\mu$-deformed Einstein field equations from the generalized thermodynamic functions of the $\mu$-deformed analog of Bose gas model, applying the (adapted) Verlinde's approach. The basic role of deformation parameter is shown: it provides the possibility to vary the value of the cosmological constant. Due to this, we suggest an interesting treatment of the cosmological constant (CC) problem within the framework of $\mu$-deformation. Namely, viewing the derived $\mu$-deformed CC as an effective one and varying the parameter $\mu$ appropriately, we gain the possibility to drastically reduce the CC, so as to get for it the realistic value. The relation to dark matter is of importance.

arXiv comment13 pages (two-column sty), 6 figures, to appear in Ukrainian Journal of Physics; V.2: minor corrections, matches published version

References in corpus (39)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• Thermodynamics of Spacetime: The Einstein Equation of State
• On the Origin of Gravity and the Laws of Newton
• Massive Gravity
• Thermodynamical Aspects of Gravity: New insights
• Sakharov's induced gravity: a modern perspective
• Friedmann Equations from Entropic Force
• Entropic force, noncommutative gravity and ungravity
• Modified Entropic Force
• Notes on Entropy Force in General Spherically Symmetric Spacetimes
• Dark matter and dark energy from Bose-Einstein condensate
• Conservative entropic forces
• Cosmological Constraints on the Modified Entropic Force Model
• Entanglement in composite bosons realized by deformed oscillators
• A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force
• Cosmological Constant from a Deformation of the Wheeler-DeWitt Equation
• Estimation of the information contained in the visible matter of the universe
• Condensate of $\mu$-Bose gas as a model of dark matter
• On gravity as an entropic force
• Entropic Law of Force, Emergent Gravity and the Uncertainty Principle
• Correlation function intercepts for $\tilde{\mu },q$-deformed Bose gas model implying effective accounting for interaction and compositeness of particles
• Intercepts of the momentum correlation functions in μ-Bose gas model and their asymptotics
• Gravity from Quantum Information
• The Friedmann equation in modified entropy-area relation from entropy force
• Energy dependence of the entanglement entropy of composite boson (quasiboson) systems
• The effects of q-statistics on cosmology
• Modified Dark Matter: Relating Dark Energy, Dark Matter and Baryonic Matter
• $q$-Deformed Einstein equations from entropic force
• Virial coefficients in $(\tilde{\mu },q)$-Bose gas model related to compositeness of particles and their interaction: temperature-dependence problem
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
• Dark Matter as a Non-Relativistic Bose-Einstein Condensate with Massive Gravitons
• Quasi-Fibonacci oscillators
• Friedmann equations for deformed entropic gravity
• Three-parameter (two-sided) deformation of Heisenberg algebra
• Galaxy rotation curves in the $\mu$-deformation based approach to dark matter
• Generalized entropic gravity from modified Unruh temperature
• New Deformed Heisenberg Algebra from the $\mu$-Deformed Model of Dark Matter