Fourth-Order Ricci Gravity
A. Borowiec, M. Francaviglia, V.I. Smirichinski
TL;DR
This paper derives the equations of motion for the broadest class of Ricci-based gravitational Lagrangians using a purely metric approach, expanding the theoretical framework of higher-order gravity theories.
Contribution
It provides the first derivation of Euler-Lagrange equations for the most general Ricci-type gravitational Lagrangians in a purely metric formalism.
Findings
Derived equations of motion for general Ricci Lagrangians
Extended the theoretical understanding of higher-order gravity
Established a basis for further gravitational research
Abstract
The Euler-Lagrange equations of motion for the most general Ricci type gravitational Lagrangians are derived by means of a purely metric formalism.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Advanced Differential Geometry Research