Chi-Squared test for constraining free parameters of modified Gravity on Brown Dwarfs

A. S. Rosyadi; A. Sulaksono

doi:10.1088/1742-6596/1321/2/022013

Chi-Squared test for constraining free parameters of modified Gravity on Brown Dwarfs

A. S. Rosyadi, A. Sulaksono

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Article number	022013
Journal	Journal of Physics: Conference Series
Volume	1321
Issue number	2
DOIs	https://doi.org/10.1088/1742-6596/1321/2/022013
Publication status	Published - 15 Nov 2019
Event	5th International Conference on Mathematics, Science and Education 2018, ICMSE 2018 - Kuta, Bali, Indonesia Duration: 8 Oct 2018 → 9 Oct 2018

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title = "Chi-Squared test for constraining free parameters of modified Gravity on Brown Dwarfs",

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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N2 - 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.

AB - 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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Chi-Squared test for constraining free parameters of modified Gravity on Brown Dwarfs

Abstract

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