Probing non-Riemannian spacetime geometry
arXiv:0708.1926 · doi:10.1016/j.physleta.2008.09.041
Abstract
The equations of motion for matter in non-Riemannian spacetimes are derived via a multipole method. It is found that only test bodies with microstructure couple to the non-Riemannian spacetime geometry. Consequently it is impossible to detect spacetime torsion with the satellite experiment Gravity Probe B, contrary to some recent claims in the literature.
8 pages, 1 figure, matches published version including the erratum in Phys. Lett. A 373 (2009) 1600
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- Motion of test bodies in theories with nonminimal coupling
- Constraining spacetime torsion with the Moon and Mercury
- Fundamental Symmetries and Spacetime Geometries in Gauge Theories of Gravity: Prospects for Unified Field Theories
- Elie Cartan's torsion in geometry and in field theory, an essay
- Metric-Affine Gravity and Cosmology/Aspects of Torsion and non-Metricity in Gravity Theories
- Constraining spacetime torsion with LAGEOS
- The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
- Equations of motion in metric-affine gravity: A covariant unified framework
- The Full Quadratic Metric-Affine Gravity (Including Parity Odd Terms): Exact solutions for the Affine-Connection
- Multipolar test body equations of motion in generalized gravity theories
- Cosmic Acceleration with Torsion and Non-metricity in Friedmann-like Universes
- Raychaudhuri and optical equations for null geodesic congruences with torsion
- Invariant conserved currents in generalized gravity
- Gauge Theory of Gravity and Spacetime
- Quadratic Metric-Affine Gravity: Solving for the Affine-Connection
- Palatini gravity with nonmetricity, torsion, and boundaries in metric and connection variables
- On the dynamics of classical particle with spin
- Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
- Maximal symmetry and metric-affine f(R) gravity
- Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion
- Memory effect of the pp waves with torsion
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- Constraining Gravitational and Cosmological Parameters with Astrophysical Data
- Gateway-like absurdly-benign traversable wormhole solutions