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Born-Infeld-Einstein theory with matter
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The field equations associated with the Born-Infeld-Einstein action including matter are derived using a Palatini variational principle. Scalar, electromagnetic, and Dirac fields are considered. It is shown that an action can be chosen for the scalar field that produces field equations identical to the usual Einstein field equations minimally coupled to a scalar field. In the electromagnetic and Dirac cases the field equations reproduce the standard equations only to lowest order. The spherically symmetric electrovac equations are studied in detail. It is shown that the resulting Einstein equations correspond to gravity coupled to a modified Born-Infeld theory. It is also shown that point charges are not allowed. All particles must have a finite size. Mass terms for the fields are also considered.
Forward citations
Cited by 2 Pith papers
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Born-Infeld Electrogravity and Dyonic Black Holes
Born-Infeld electrogravity yields a fundamental extremal dyonic black hole in the small-charge limit whose mass and horizon area depend only on the Born-Infeld constant, Newton’s constant, and the speed of light.
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Covariant Canonical Formalism For Born-Infeld Inspired Gravity in Palatini Formulation
The covariant canonical formalism is applied to Palatini Born-Infeld gravity, yielding a Hamiltonian whose equations of motion reproduce the Lagrangian field equations.
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