Abstract
Constraining free parameters of two modified gravity theories such as beyond Horndeski and Eddington Inspired Born-Infeld Theories of Gravity have been done precisely with LHS6343C data. However, it remains insufficient to explain the radius and mass relation of Brown Dwarf globally. We still need to identify how well beyond Horndeski and Eddington Inspired Born-Infeld Theories of Gravity being compared by the completed observation mass-radius data of Bayliss et. al. The provided data gives error-bar that can be used to study more systematically through the standard deviation analysis. We do Chi-Squared test to obtain minimum value on the free parameters of both Modified Gravity theories. We compare the two results and constrain the free parameters of both theories on confidence level 1 σ. We can obtain the more accurate results for determining the limits of free parameters of both theories.
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