Validating variational principle for higher order theory of gravity

Abstract

Metric variation of higher order theory of gravity requires to fix the Ricci scalar in addition to the metric tensor at the boundary. Fixing Ricci scalar at the boundary implies that the classical solutions are fixed once and forever to the de-Sitter or anti de-Sitter solutions. Here, we justify such requirement from the standpoint of Noether Symmetry.

5 pages, To appear in Modern Physics Letters A

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Cited by in corpus (2)

• Noether symmetry in $f(T)$ teleparallel gravity
• Why scalar-tensor equivalent theories are not physically equivalent?