Non-smooth gravity and parity violation

Abstract

A conservative extension of general relativity is proposed by alleviating the differentiability of the metric and allowing for non-smooth solutions. We show that these metrics break some symmetries of the Riemann tensor, yielding a new scalar curvature invariant besides the usual Ricci scalar. To first order in the curvature, this adds a new piece of information to the action, containing interesting and unexplored physics. The spectrum of the theory reveals the presence of an additional massless spin-1 field apart from the massless spin-2 graviton. We argue that this new contribution violates P and CP symmetries at leading order in the curvature and we discuss the possibility of observing these effects in existing experiments.

References in corpus (4)

• Testing gravitational parity violation with coincident gravitational waves and short gamma-ray bursts
• Anomalous CMB polarization and gravitational chirality
• A gravitational-wave probe of effective quantum gravity
• Spectral Dependence of CMB Polarization and Parity

Cited by in corpus (1)

• Taming Dirac strings and timelike loops in vacuum gravity