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- W2613706723 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." @default.
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- W2613706723 date "2017-05-31" @default.
- W2613706723 modified "2023-10-15" @default.
- W2613706723 title "Action principle for action-dependent Lagrangians toward nonconservative gravity: Accelerating universe without dark energy" @default.
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- W2613706723 doi "https://doi.org/10.1103/physrevd.95.101501" @default.
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