From an Action Principle for Action-dependent Lagrangians toward non-conservative Gravity: accelerating Universe without dark energy

2017/05/12 by Matheus J. Lazo, Juilson Paiva, João T. S. Amaral +1 · 1 citation
Physics and Astronomy · Mathematics · #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1103/physrevd.95.101501

accepted for publication as a Rapid Communication in Physical Review D

arxiv created 2017/05/12 · arxiv updated 2017/06/28

Abstract

In the present work, we propose an Action Principle for Action-dependent Lagrangians by generalizing the Herglotz variational problem for several independent variables. This Action Principle enables us to formulate Lagrangian densities for non-conservative fields. In special, from a Lagrangian depending linearly on the Action, we obtain a generalized Einstein's field equations for a non-conservative gravity and analyze some consequences of their solutions to cosmology and gravitational waves. We show that the non-conservative part of the field equations depends on a constant cosmological four-vector. Depending on this four-vector, the theory displays damped/amplified gravitational waves and an accelerating Universe without dark energy.

Cited by

• Classical General Relativity as a Non-Conservative Action-Dependent Field Theory

Related

• An Action Principle for Action-dependent Lagrangians: toward an Action Principle to non-conservative systems
• A Lagrangian description of interacting dark energy
• Action Principle for Isotropic General Relativity
• Cosmology from a new non-conservative gravity
• Dynamical Constraints in the Nonsymmetric Gravitational Theory