Action principle for action-dependent Lagrangians toward nonconservative gravity: Accelerating universe without dark energy

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 nonconservative fields. In particular, from a Lagrangian dep...

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Bibliographic Details
Published in:Physical review. D 2017-05, Vol.95 (10), Article 101501
Main Authors: Lazo, Matheus J., Paiva, Juilson, Amaral, João T. S., Frederico, Gastão S. F.
Format: Article
Language:English
Subjects:
Cosmology
Dark energy
Einstein equations
Gravitation theory
Gravitational waves
Independent variables
Mathematical analysis
Universe
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Summary: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 nonconservative fields. In particular, from a Lagrangian depending linearly on the action, we obtain generalized Einstein field equations for nonconservative gravity and analyze some consequences of their solutions for cosmology and gravitational waves. We show that the nonconservative 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.101501