New solutions in pure gravity with degenerate tetrads
arXiv:1609.02344 · doi:10.1103/PhysRevD.94.104047
Abstract
In first order formulation of pure gravity, we find a new class of solutions to the equations of motion represented by degenerate four-geometries. These configurations are described by non- invertible tetrads with two zero eigenvalues and admit non-vanishing torsion. The homogeneous ones among these infinitely many degenerate solutions admit a geometric classification provided by the three fundamental geometries that a closed two-surface can accomodate, namely, E^2 , S^2 and H^2.
arXiv comment10 pages, Journal version
References in corpus (3)
Cited by in corpus (20)
- A Lagrangian constraint analysis of first order classical field theories with an application to gravity
- Pregeometric First Order Yang-Mills Theory
- Hamiltonian form of `Carroll' gravity
- Gravity theory with a dark extra dimension
- A degenerate extension of the Schwarzschild exterior
- Spacetime-bridge solutions in vacuum gravity
- Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
- 4D Einstein-Gauss-Bonnet Gravity From Non-Einsteinian Phase
- Taming Dirac strings and timelike loops in vacuum gravity
- Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
- Cosmological Dark sector from a Mimetic-Metric-Torsion perspective
- Time travel in vacuum spacetimes
- Magnetic monopole as a spacetime defect
- Two-dimensional gravity from vanishing metrical dimensions
- A discrete discontinuity between the two phases of gravity
- About the (in)equivalence between holonomic versus non-holonomic theories of gravity
- Finite model of an electric charge
- Matter coupling to degenerate spacetimes in first order gravity
- Simplicity constraints: a 3d toy-model for Loop Quantum Gravity
- Canonical Gravity in Degenerate Limit