Routh Reduction of Palatini Gravity in Vacuum

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Capriotti, Santiago
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210704
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Routh Reduction of Palatini Gravity in Vacuum. Santiago Capriotti. SIGMA 16 (2020), 046, 50 pages

An interpretation of Einstein-Hilbert gravity equations as a Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists of representing the equations of motion as a set of differential forms on a suitable bundle. In this setting, Einstein-Hilbert gravity can...