Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves

Abstract

We construct a class of exact solutions of the noncommutative vacuum Einstein field equations, which are noncommutative analogues of the plane-fronted gravitational waves in classical gravity.

10 pages, comments added

References in corpus (19)

• Deformation quantization of Poisson manifolds, I
• Noncommutative geometry inspired Schwarzschild black hole
• A Gravity Theory on Noncommutative Spaces
• Noncommutative Geometry and Gravity
• Noncommutative geometry inspired charged black holes
• Deforming Einstein's Gravity
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Comments on noncommutative gravity
• Complexified Gravity in Noncommutative Spaces
• Noncommutative Schwarzschild Black Hole and Area Law
• SL(2,C) Gravity with Complex Vierbein and Its Noncommutative Extension
• Lie algebraic Noncommutative Gravity
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Noncommutative BTZ Black Hole and Discrete Time
• Noncommutative corrections to classical black holes
• Spherically Symmetric Noncommutative Space: d = 4
• Riemannian Geometry of Noncommutative Surfaces
• Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes
• Projective module description of embedded noncommutative spaces

Cited by in corpus (8)

• A complete cosmological scenario from $f(R,T^{\phi })$ gravity theory
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• Gravitational effects on the Heisenberg Uncertainty Principle: a geometric approach
• Gravitational collapse of spherically symmetric stars in noncommutative general relativity
• Gravitational radiation in dynamical noncommutative spaces
• Noncommutative Reissner-Nordstrøm Black hole
• Holographic Entanglement Entropy for noncommutative Anti-de Sitter space
• A noncommutative geometric approach to the quantum structure of spacetime