Modified gravity without new degrees of freedom

Abstract

We show that the new type of "non-metric" gravity theories introduced independently by Bengtsson and Krasnov can in fact be reexpressed explicitely as a metrical theory coupled to an auxiliary field. We unravel why such theories possess only one propagating graviton by looking at the quadratic perturbation around a fixed solution. And we give a general construction principle with a new class of example of such modified gravity theories still possessing only two propagating degrees of freedom.

19 pages

References in corpus (4)

• Flipped spinfoam vertex and loop gravity
• On deformations of Ashtekar's constraint algebra
• Renormalizable Non-Metric Quantum Gravity?
• Plebanski gravity without the simplicity constraints

Cited by in corpus (1)

• Spherically symmetric black holes in minimally modified self-dual gravity