A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian (Q6160684)
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scientific article; zbMATH DE number 7701157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian |
scientific article; zbMATH DE number 7701157 |
Statements
A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian (English)
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26 June 2023
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This formulation is applied to the general theory of relativity, and an extension is obtained which contains a variable in addition to the metric (the variable of the conventional theory). The action corresponding to the extended theory, and the equation of motion resulted from this action are studied.
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contact geometry
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general relativity
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Herglotz variational problem
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contact gravity
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non-conservative system
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higher-order action-dependent field theory
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Lorentz-invariant equations
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