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

Eric D. Carlson; Taylor M. Ordines

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

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arxiv 1902.05858 v3 pith:G6V5UD7Y submitted 2019-02-15 gr-qc

Taylor M. Ordines , Eric D. Carlson This is my paper · ORCID

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keywords atmosphereearthgravitationalgravitylesssimlimitstimesaccuracy

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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 $-1.6\times 10^{-13} \lesssim \chi \lesssim 1.8\times 10^{-13}$.

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Reexamining $f(R,T)$ gravity
gr-qc 2019-08 accept novelty 7.0 of 10

The f2(T) term in separable f(R,T) gravity is shown to be a redefinition of the matter sector rather than new gravitational physics, invalidating prior observational constraints on its parameters.

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