# Entropy in Born-Infeld gravity

@article{Ozen2017EntropyIB, title={Entropy in Born-Infeld gravity}, author={Gokcen Deniz Ozen and Sahin Kurekci and Bayram Tekin}, journal={Physical Review D}, year={2017}, volume={96}, pages={124038} }

There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum and no other perturbative modes. These theories are of the Born-Infeld determinantal form. We show that the macroscopic dynamical entropy as defined by Wald for bifurcate Killing horizons in these theories are equivalent to the geometric Bekenstein-Hawking…

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## References

SHOWING 1-10 OF 34 REFERENCES

### Born-Infeld Gravity with a Unique Vacuum and a Massless Graviton

- Physics
- 2015

We construct an n-dimensional Born-Infeld type gravity theory that has the same properties as Einstein’s gravity in terms of the vacuum and particle content: Namely, the theory has a unique viable…

### New massive gravity extended with an arbitrary number of curvature corrections

- Physics
- 2010

We consider new massive gravity (NMG) type models in the context of AdS/CFT. By demanding the existence of a holographic c theorem, we construct an infinite family of three-dimensional quantum…

### Minimal extension of Einstein’s theory: The quartic gravity

- Physics, Mathematics
- 2016

We study structure of solutions of the recently constructed minimal extensions of Einstein's gravity in four dimensions at the quartic curvature level. The extended higher derivative theory, just…

### More on Massive 3D Gravity

- Physics
- 2009

We explore the space of static solutions of the recently discovered three-dimensional 'new massive gravity' (NMG), allowing for either sign of the Einstein-Hilbert term and a cosmological term…

### Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling

- Physics
- 2009

The Bekenstein-Hawking entropy of black holes in Einstein's theory of gravity is equal to a quarter of the horizon area in units of Newton's constant. Wald has proposed that in general theories of…

### Born-Infeld Gravity with a Massless Graviton in Four Dimensions

- Physics
- 2015

We construct Born-Infeld (BI) type gravity theories which describe tree-level unitary (non-ghost and non-tachyonic) massless spin-2 modes around their maximally symmetric vacua in four dimensions.…

### Thermodynamics of spacetime: The Einstein equation of state.

- PhysicsPhysical review letters
- 1995

The Einstein equation is derived from the form of black hole entropy together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature, and its validity is seen to depend on the existence of local equilibrium conditions.

### Massive gravity in three dimensions.

- PhysicsPhysical review letters
- 2009

The extension to massive N-extended supergravity is discussed, the "cosmological" extension that admits an anti-de Sitter vacuum is presented, and a more general model propagates the two spin-2 helicity states with different masses.