Generalized Brans-Dicke theory from Verlinde's entropic gravity
arXiv:2506.02729 · doi:10.1016/j.nuclphysb.2025.116974
Abstract
In this work, we develop a q-deformed scalar-tensor theory of gravitation by combining Verlinde's entropic gravity paradigm with statistical deformation effects. The resulting model modifies the Brans-Dicke framework through a deformation function, treated as a constant rescaling factor for the effective gravitational coupling. We derive the corresponding q-deformed field equations and analyze their theoretical consistency including the recovery of standard gravitational models in specific limits. While the present formulation preserves key symmetries and provides a generalized description of gravitational dynamics, it does not yield a significant deviation from Brans-Dicke theory. The study concludes with prospects for future research, including the exploration of cosmological solutions arising from the q-deformed field equations.
14 pages
References in corpus (45)
- Modified Gravity and Cosmology
- Extended Theories of Gravity
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- On the Origin of Gravity and the Laws of Newton
- Thermodynamical Aspects of Gravity: New insights
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- Gravity and the Thermodynamics of Horizons
- Emergent Gravity and the Dark Universe
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Scale invariance, unimodular gravity and dark energy
- Thermodynamics of dark energy interacting with dark matter and radiation
- Friedmann Equations from Entropic Force
- Early and late universe holographic cosmology from a new generalized entropy
- Local Conformal Symmetry in Physics and Cosmology
- Entropic cosmology: a unified model of inflation and late-time acceleration
- Thermodynamics of apparent horizon and modified Friedman equations
- Entropic cosmology for a generalized black-hole entropy
- Entropic Corrections to Friedmann Equations
- Power-Law Entropic Corrections to Newton's Law and Friedmann Equations
- Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
- Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
- Gauging scale symmetry and inflation: Weyl versus Palatini gravity
- The generalized and extended uncertainty principles and their implications on the Jeans mass
- Inflation in a scale invariant universe
- Cosmological Constraints on the Modified Entropic Force Model
- Modified cosmology from the thermodynamics of apparent horizon
- Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
- High temperature behavior of a deformed Fermi gas obeying interpolating statistics
- Scale invariant alternatives to general relativity. II. Dilaton properties
- Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
- A Weyl-Dirac Cosmological Model with DM and DE
- Weyl Symmetry Inspired Inflation and Dark Matter
- Einstein Equations and MOND Theory from Debye Entropic Gravity
- The effects of q-statistics on cosmology
- Modified cosmology from quantum deformed entropy
- Present accelerated expansion of the universe from new Weyl-Integrable gravity approach
- Fibonacci Oscillators in the Landau Diamagnetism problem
- Virial coefficients in -Bose gas model related to compositeness of particles and their interaction: temperature-dependence problem
- Effects of bosonic and fermionic -deformation on the entropic gravity
- Heat capacity of Holographic screen inspires MOND theory
- Friedmann equations for deformed entropic gravity
- Intermediate statistics: addressing the thermoelectric properties of solids
- Generalized entropic gravity from modified Unruh temperature
- Anisotropic cosmology in -deformed entropic gravity