Born-Infeld gravity with a massless graviton in four dimensions

Guellue, Ibrahim
Sisman, Tahsin Cagri
Tekin, Bayram
We construct Born-Infeld (BI) type gravity theories which describe tree-level unitary (nonghost and nontachyonic) massless spin-2 modes around their maximally symmetric vacua in four dimensions. Building unitary BI actions around flat vacuum is straightforward, but this is a complicated task around (anti)-de Sitter backgrounds. In this work, we solve the issue and give details of constructing perturbatively viable determinantal BI theories. It is interesting that the Gauss-Bonnet combination, which is a total derivative in four dimensions, plays an important role in the construction of viable BI theories.

Citation Formats
I. Guellue, T. C. Sisman, and B. Tekin, “Born-Infeld gravity with a massless graviton in four dimensions,” PHYSICAL REVIEW D, vol. 91, no. 4, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: