Theta-twisted Gravity

Abstract

We describe a theory of gravitation on canonical noncommutative spacetimes. The construction is based on theta-twisted General Coordinate Transformations and Local Lorentz Invariance.

5 papges, v2, references added, minor corrections

References in corpus (9)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• A Gravity Theory on Noncommutative Spaces
• New concept of relativistic invariance in NC space-time: twisted Poincaré symmetry and its implications
• Noncommutative General Relativity
• Twisted Gauge Theories
• Second Order Noncommutative Corrections to Gravity
• Twist Symmetry and Gauge Invariance
• Twist to close
• Twist as a Symmetry Principle and the Noncommutative Gauge Theory Formulation

Cited by in corpus (13)

• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
• Noncommutative D=4 gravity coupled to fermions
• Constraining non-commutative space-time from GW150914
• Geodesic equation in $k$-Minkowski spacetime
• Noncommutative corrections to classical black holes
• Twisted Covariant Noncommutative Self-dual Gravity
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
• Uniformly accelerated detector in the $\kappa$-deformed Dirac vacuum
• Noncommutative gravity with self-dual variables
• Self-dual road to noncommutative gravity with twist: a new analysis
• From quantum deformations of relativistic symmetries to modified kinematics and dynamics
• Gravitational-wave constraints on noncommutative spacetime from GW190814