Apparent Dark Matter Inspired by Einstein Equation of State

Abstract

The purpose of this article is twofold. First, by means of Padmanabhan's proposal on the emergence nature of gravity, we recover the $\Lambda$CDM model and the effect of the dark matter in the context of cosmology. Toward this goal, we use the key idea of Padmanabhan that states cosmic space emerges as the cosmic time progress and link the emergence of space to the difference between the number of degrees of freedom on the boundary and in the bulk. Interestingly enough, we show that the effect of the cold dark matter in the cosmological setup can be understood by assuming an interaction between the numbers of degrees of freedom in the bulk. In the second part, we follow the Jacobson's argument and obtain the modified Einstein field equations with additional dark matter component emerging due to the interaction term between dark energy and baryonic matter related by ${\Omega }_{DM,0}=\sqrt{2\alpha {\Omega }_{M,0}{\Omega }_{DE,0}}$, where $\alpha$ is a coupling constant. Finally, a correspondence with Yukawa cosmology is pointed out, and the role of massive gravitons as a possibility in explaining the nature of the dark sector as well as the theoretical origin of the Modified Newtonian Dynamics (MOND) are addressed. We speculate that the interaction coupling $\alpha$ fundamentally measures the entanglement between the gravitons and matter fields and there exists a fundamental limitation in measuring the gravitons wavelength.

arXiv comment8 pages

References in corpus (41)

• A Universal Density Profile from Hierarchical Clustering
• Thermodynamics of Spacetime: The Einstein Equation of State
• The Cosmological Constant
• On the Origin of Gravity and the Laws of Newton
• Chameleon Cosmology
• Cold collapse and the core catastrophe
• Thermodynamical Aspects of Gravity: New insights
• The Diversity and Similarity of Simulated Cold Dark Matter Halos
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• The large-scale structure of the Universe
• Gravity and the Thermodynamics of Horizons
• Emergent Gravity and the Dark Universe
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• The Observed properties of Dark Matter on small spatial scales
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Mass Models for Low Surface Brightness Galaxies with High Resolution Optical Velocity Fields
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Local-Group tests of dark-matter Concordance Cosmology: Towards a new paradigm for structure formation
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Thermodynamics of apparent horizon and modified Friedman equations
• Mass for the graviton
• Velocity dispersion around ellipticals in MOND
• Recovering a MOND-like acceleration law in mimetic gravity
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Entropic Corrections to Einstein Equations
• Breakdown of the Newton-Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars
• A general solution in the Newtonian limit of f(R)- gravity
• Einstein's Theory of Gravity and the Problem of Missing Mass
• A note on entropic force and brane cosmology
• The MOND Fundamental Plane
• Friedmann equations in braneworld scenarios from emergence of cosmic space
• Observational constraints on Yukawa cosmology and connection with black hole shadows
• Entropic corrections to Friedmann equations and bouncing universe due to the zero-point length
• Remarks on the properties of elliptical galaxies in modified Newtonian dynamics
• How Barrow Entropy Modifies Gravity: With Comments on Tsallis Entropy
• Debye entropic force and modified Newtonian dynamics
• Emergence of spacetime dynamics in entropy corrected and braneworld models
• Einstein Equations and MOND Theory from Debye Entropic Gravity
• Phase space analysis of the bouncing universe with stringy effects

Cited by in corpus (5)

• Dark matter signatures of black holes with Yukawa potential
• Addressing the Hubble tension in Yukawa cosmology?
• Graviton mass due to dark energy as a superconducting medium: theoretical and phenomenological aspects
• Topological and optical signatures of modified black-hole entropies
• Dark Universe inspired by the Kaluza-Klein gravity and impact on Primordial Gravitational Waves