Spin-3 fields in Mielke-Baekler gravity

Abstract

Mielke-Baekler gravity consists in the usual Einstein-Hilbert action with a cosmological term and rotational and translational Chern-Simons terms with arbitrary couplings. For a particular choice of these couplings, we can obtain Einstein-Hilbert action, its teleparallel equivalent, and the exotic Witten's gravity. In this work, we use the Chern-Simons formalism to generalize the three dimensional Mielke-Baekler gravity theory in order to introduce spin-3 fields. We study its asymptotic symmetries, black hole solution, and also analyse its canonical structure at its singular point.

arXiv commentv.2: 12 pages, references added v.3: 15 pages, references added, new subsection 3.2

References in corpus (17)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
• 3D gravity with torsion as a Chern-Simons gauge theory
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Black hole entropy in 3D gravity with torsion
• Topologically Massive Higher Spin Gravity
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Spin-3 Topological Massive Gravity
• The CFT dual of AdS gravity with torsion
• Asymptotic symmetries in 3d gravity with torsion
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Asymptotic dynamics in 3D gravity with torsion
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• On the addition of torsion to chiral gravity
• "Exotic" black holes with torsion
• Chiral Higher Spin Gravity
• Near-horizon geometry with torsion