On the Consistence Conditions to Braneworlds Sum Rules in Scalar-Tensor Gravity for Arbitrary Dimensions
M. C. B. Abdalla (IFT/Unesp), M. E. X. Guimaraes (IF/Uff), J. M. Hoff, da Silva (IFT/Unesp)

TL;DR
This paper derives a family of consistency conditions for braneworld models within Brans-Dicke gravity, generalizing known results from General Relativity by incorporating an arbitrary Brans-Dicke parameter.
Contribution
It introduces a comprehensive set of sum rules for braneworlds in scalar-tensor gravity, extending previous work in General Relativity to include scalar-tensor theories.
Findings
Reproduces known sum rules in the GR limit
Provides a new parameterized family of conditions in Brans-Dicke gravity
Generalizes braneworld consistency conditions to arbitrary dimensions
Abstract
We derive an one-parameter family of consistence conditions to braneworlds in the Brans-Dicke gravity. The sum rules are constructed in a completely general frame and they reproduce the conditions already obtained in General Relativity theory just by using a right limit of the Brans-Dicke parameter.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories
