Limits on $f(R,T)$ Gravity from Earth's Atmosphere

Abstract

We investigate changes in Earth's atmospheric models coming from the $f(R,T)$ modified theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the stress-energy tensor. We obtain a generic form for the gravitational field equations and derive the hydrostatic equation for Earth's atmosphere for leading order terms $f(R,T)=R+2\chi T.$ Based on the apparent accuracy of the 1976 U.S. Standard Atmosphere model, which varies no more than $10\%$ from observations, we find limits of $-1.6\times 10^{-13}\lesssim \chi \lesssim 1.8\times 10^{-13}$.

arXiv comment2 figures, version accepted for publication

References in corpus (18)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark Energy and the Accelerating Universe
• Extra force in $f(R)$ modified theories of gravity
• Action functionals for relativistic perfect fluids
• Thermodynamics in f(R,T) Theory of Gravity
• Nonminimal coupling of perfect fluids to curvature
• Dark Matter From f(R,T) Gravity
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Strange stars in $f(R,\mathcal{T})$ gravity
• Cosmological inviability of $f(R,T)$ gravity
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint

Cited by in corpus (19)

• Reexamining $f(R,T)$ gravity
• Junction conditions and thin-shells in perfect-fluid $f\left(R,T\right)$ gravity
• A connection between Rastall-type and f(R, T) gravities
• Static Traversable Wormholes in $f(R,T)=R+2\alpha \ln T$ Gravity
• Modelling Casimir Wormholes in Extended Gravity
• Phantom cosmology in an Extended Theory of Gravity
• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Estimation of Cosmological Parameters, Stability Analysis and Energy Conditions in Viable Modified Gravity
• A dynamical system representation of generalized Rastall gravity
• Plane symmetric model in $f(R,T)$ gravity
• LRS Bianchi I model with constant expansion rate in $f(R,T)$ gravity
• Study of the charged super-Chandrasekhar limiting mass white dwarfs in the $f(R,\mathcal{T})$ gravity
• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background
• NEC violation in $f(\bar{R},\bar{T})$ gravity in the context of a non-canonical theory via modified Raychaudhuri equation
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe
• Intermediate Coupling Regime in Dilatonic $f(R,T)$ Inflationary Universe