Gravitational lensing by f(R,T) gravity
Abstract
A solution for f(R,T) gravity of the type f(R,T)=f1(R)+f2(T) for specific f2(T) functions is derived. It is shown that a slight modification to the Schwarzschild metric can be found for f2(T)=αTn+β, where n>0, β≪1 and α is some constant. The effects of f(R,T) gravity on gravitational lensing are calculated and the differences with general relativity are compared. Furthermore, it is shown that modified gravity can give a considerable contribution to gravitational lensing.
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