Theoretical and experimental research on general relativity with torsion is reviewed. An
introductory section establishes definitions and notation, introduces tetrads, the …

Momentum transport is anomalous in chiral p+ ip superfluids and superconductors in the
presence of textures and superflow. Using the gradient expansion of the semiclassical …

We consider the role of coordinate-dependent Fermi velocities, equivalent to effective tetrad
(or vierbein) frame fields characterizing momentum space geometry, and torsional Landau …

We study the cosmological perturbations for the possible inflation scenario in the teleparallel
equivalence of general relativity specified with parallelizable topological conditions. By …

The Nieh-Yan anomaly is the anomalous breakdown of the chiral U (1) symmetry caused by
the interaction between torsion and fermions. We study this anomaly from the point of view of …

A general argument provides the motivation to consider the Barbero-Immirzi parameter as a
field. The specific form of the geometrical effective action allows one to relate the value of the …

Relativistic gravitational anomalies lead to anomalous transport coefficients that can be
activated at finite temperature in hydrodynamic and condensed matter systems with gapless …

Four-dimensional homogeneous static and rotating black strings in dynamical Chern–
Simons modified gravity, with and without torsion, are presented. Each solution is supported …

In a temperature dependent CPT-Violating (CPTV) axial time-like background (induced by
the Kalb-Ramond tensor field of string theory) we discuss leptogenesis by solving the …

We consider the recently discovered Dirac semimetals with two Dirac points±K. In the
presence of elastic deformations each fermion propagates in a curved space, whose metric …