Born-Infeld-Einstein actions?

@article{Deser1998BornInfeldEinsteinA,
  title={Born-Infeld-Einstein actions?},
  author={Stanley Deser and G. W. Gibbons},
  journal={Classical and Quantum Gravity},
  year={1998},
  volume={15}
}
We present some obvious physical requirements on gravitational avatars of nonlinear electrodynamics and illustrate them with explicit determinantal Born - Infeld - Einstein models. A related procedure, using compensating Weyl scalars, permits us to formulate conformally invariant versions of these systems as well. 
BORN-INFELD GRAVITY
We propose a generalization of gravitational interactions where the action contains, instead of the square root of the metric determinant, the square root of determinant of some other tensor field.
Born–Infeld extension of new massive gravity
We present a three-dimensional gravitational Born–Infeld theory which reduces to the recently found new massive gravity (NMG) at the quadratic level in the small curvature expansion and at the cubic
Born-Infeld gravity in any dimension
We develop a Born-Infeld type theory for gravity in any dimension. We show that in four dimensions our formalism allows a self-dual (or anti-self dual) Born-Infeld gravity description. Moreover, we
Generalized Born Infeld gravitational action
Non linear gravitational actions obtained generalizing the tensor scalar density √−det∥gαβ∥ along the line of the Born infeld actions are studied. The requirements that the theory reduces to
Dirac–Born–Infeld equations
The regular cosmic string in Born-Infeld gravity
It is shown that Born-Infeld gravity –a high energy deformation of Einstein gravity–removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical
Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent
A Born–Infeld scalar and a dynamical violation of the scale invariance from the modified measure action
Starting with a simple two scalar field system coupled to a modified measure that is independent of the metric, we, first, find a Born-Infeld dynamics sector of the theory for a scalar field and
Singular inflation from Born-Infeld-f(R) gravity
Accelerating dynamics from Born-Infeld-$f(R)$ gravity are studied in a simplified conformal approach without matter. Explicit unification of inflation with late-time acceleration is realized within
...
...

References

SHOWING 1-10 OF 21 REFERENCES
Supersymmetric non-polynomial vector multiplets and causal propagation
The infinite class of massless spin-1 actions formed from the two algebraic invariants Fmu nu Fmu nu , Fmu nu *Fmu nu which allow a supersymmetric extension is derived. It is shown that (to second
Foundations of the New Field Theory
THE new field equations proposed recently1 can be derived from either of two principles, the first being a rather obvious physical statement, the other an equally obvious mathematical postulate.
Plane waves do not polarize the vacuum
Gravitational plane waves, like their electromagnetic and Yang-Mills counterparts, are undistorted by vacuum polarization effects to all loop orders, if no cosmological term is induced.
First order actions for gravitational systems, strings and membranes
We discuss first order actions in general and the construction of first order actions by eliminating Lagrange multipliers in particular. A number of first order actions for gravitational theories are
Quantized fields propagating in plane-wave spacetimes
This paper contains an account of the interaction of a quantized massive scalar field with the classicalc number gravitational field of a plane sandwich wave of arbitrary profile and polarization. It
Nonlinear Electrodynamics: Lagrangians and Equations of Motion
After a brief discussion of well‐known classical fields we formulate two principles: When the field equations are hyperbolic, particles move along rays like disturbances of the field; the waves
...
...