New explanation for accelerated expansion and flat galactic rotation curves

Abstract

Employing the non-additive Tsallis entropy, $S\sim A^{\beta }$, for the large-scale gravitational systems, we disclose that in the cosmological scales both Friedmann equation and the equation of motion for the Newtonian cosmology get modified, accordingly. We then derive the modified Newton's law of gravitation which is valid on the large scales. We show that, in the relativistic regime, the modified Friedmann equation admits an accelerated expansion, for a universe filled with ordinary matter, without invoking any kind of dark energy, provided the non-extensive parameter is chosen $\beta <1/2$. In the non-relativistic regime, however, the modified Newton's law of gravitation can explain the flat galactic rotation curves without invoking particle dark matter provided $\beta \lesssim 1/2$. Our study may be regarded as an alternative explanation for the "dark side of the universe", through modification of the gravitational field equations.

arXiv comment8 pages, 3 figures

References in corpus (58)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Thermodynamics of Spacetime: The Einstein Equation of State
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• On the Origin of Gravity and the Laws of Newton
• Curvature Quintessence
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Thermodynamical Aspects of Gravity: New insights
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Black hole thermodynamical entropy
• Statistical mechanics in the context of special relativity
• Non Linear Kinetics underlying Generalized Statistics
• Unified first law of black-hole dynamics and relativistic thermodynamics
• Gravity and the Thermodynamics of Horizons
• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Non-equilibrium Thermodynamics of Spacetime
• Nonextensivity and multifractality in low-dimensional dissipative systems
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Mimetic Dark Matter
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Dynamic black-hole entropy
• Dark matter as a geometric effect in f(R) gravity
• Inflation and de Sitter Thermodynamics
• Thermodynamics of dark energy interacting with dark matter and radiation
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Modified cosmology from extended entropy with varying exponent
• Dark Matter From f(R,T) Gravity
• Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Modified Friedmann Equations from Tsallis Entropy
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Fitting galactic rotation curves with conformal gravity and a global quadratic potential
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• Relating Friedmann equation to Cardy formula in universes with cosmological constant
• Probing the cosmological viability of non-gaussian statistics
• Generalized second law of thermodynamics in Gauss-Bonnet braneworld
• Unification of Inflation with Dark Energy in $f(R)$ Gravity and Axion Dark Matter
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Recovering a MOND-like acceleration law in mimetic gravity
• Modified cosmology through nonextensive horizon thermodynamics
• An $f(R)$ gravitation for galactic environments
• Fitting dwarf galaxy rotation curves with conformal gravity
• Friedmann equation and Cardy formula correspondence in brane universes
• Holography in a Radiation-dominated Universe with a Positive Cosmological Constant
• Correspondence of cosmology from non-extensive thermodynamics with fluids of generalized equation of state
• Jeans instability criterion from the viewpoint of non-gaussian statistics
• M/L, H-alpha Rotation Curves, and HI Measurements for 329 Nearby Cluster and Field Spirals: I. Data
• Effective Dark Matter Halo catalog in $f(R)$ gravity
• An f(R) model for dark matter: rotation curves and gravitational lensing

Cited by in corpus (21)

• Barrow Entropy Corrections to Friedmann Equations
• Baryon asymmetry from Barrow entropy: theoretical predictions and observational constraints
• Modified cosmology through Barrow entropy
• Reconstruction of quintessence field for the THDE with swampland correspondence in $f(R,T)$ gravity
• Baryogenesis in non-extensive Tsallis Cosmology
• Observational constraints of the modified cosmology through Barrow entropy
• Corrections to Friedmann equations inspired by Kaniadakis entropy
• Black hole geometrothermodynamics and critical phenomena: a look from Tsallis entropy-based perspective
• Observational constraints on Tsallis modified gravity
• The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy
• Apparent dark matter as a non-local manifestation of emergent gravity
• Black Hole Thermodynamics via Tsallis Statistical Mechanics
• Dark Matter as an effect of a minimal length
• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Kaniadakis entropy-based characterization of IceCube PeV neutrino signals
• Modified cosmology through Kaniadakis entropy
• Gravitational wave probes of Barrow cosmology with LISA standard sirens
• MOND Theory and Thermodynamics of Spacetime
• Dark Universe inspired by the Kaluza-Klein gravity and impact on Primordial Gravitational Waves
• H0 tension in Tsallis and Renyi statistics
• $q$-Equilibrium of Gas in Spacetime of Multi-horizon Black Holes