An axially symmetric solution of metric-affine gravity
arXiv:gr-qc/9604035 · doi:10.1088/0264-9381/13/12/016
Abstract
We present an exact stationary {\it axially symmetric} vacuum solution of metric-affine gravity (MAG) which generalises the recently reported spherically symmetric solution. Besides the metric, it carries nonmetricity and torsion as post-Riemannian geometrical structures. The parameters of the solution are interpreted as mass and angular momentum and as dilation, shear and spin charges.
5 pages, RevTex
References in corpus (4)
- Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
- Black Holes with Weyl Charge and Non-Riemannian Waves
- An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges
- Non-Riemannian Gravity and the Einstein-Proca System
Cited by in corpus (30)
- Metric-affine gauge theory of gravity II. Exact solutions
- Axial-Vector Torsion and the Teleparallel Kerr Spacetime
- Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
- Test Matter in a Spacetime with Nonmetricity
- Maxwell's theory on a post-Riemannian spacetime and the equivalence principle
- New models with independent dynamical torsion and nonmetricity fields
- Dark Matter Gravitational Interactions
- Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
- Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
- Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion
- Rotating Black Holes in Metric-Affine Gravity
- Cosmology of Quadratic Metric-Affine Gravity
- Computer algebra in gravity: Programs for (non-)Riemannian spacetimes. I
- Invariant conserved currents in gravity theories: diffeomorphisms and local gauge symmetries
- Plebański-Demiański-like solutions in metric-affine gravity
- Constraints on Metric-Palatini Gravity from QPO Data
- Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
- Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes
- Geometric Proca with Matter in Metric-Palatini Gravity
- Metric-Affine Vector-Tensor Correspondence and Implications in gravity
- Multipole solutions in metric--affine gravity
- Gravitational waves in metric-affine gravity theory
- Rotating Kerr-Newman space-times in Metric-Affine Gravity
- A nonminimally coupled Einstein-Maxwell model in a non-Riemann space-time with torsion
- Uniqueness theorems for static black holes in metric-affine gravity
- Generalized Reissner-Nordström solution in Metric-Affine Gravity
- Review of gravitational wave solutions in quadratic metric-affine gravity
- Existence and stability of circular orbits in static and axisymmetric spacetimes
- Spinning Particles around Einstein-Geometric Proca AdS Compact Objects
- Thermodynamics of Einstein-Geometric Proca AdS compact objects