Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity

Abstract

We derive noncommutative Einstein equations for abelian twists and their solutions in consistently symmetry reduced sectors, corresponding to twisted FRW cosmology and Schwarzschild black holes. While some of these solutions must be rejected as models for physical spacetimes because they contradict observations, we find also solutions that can be made compatible with low energy phenomenology, while exhibiting strong noncommutativity at very short distances and early times.

LaTeX 12 pages, JHEP.sty

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Cited by in corpus (46)

• Noncommutative Scalar Quasinormal Modes of the Reissner Nordström Black Hole
• NC $SO(2,3{)}_{\star }$ gravity: noncommutativity as a source of curvature and torsion
• Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole
• Noncommutative duality and fermionic quasinormal modes of the BTZ black hole
• The Hidden Quantum Groups Symmetry of Super-renormalizable Gravity
• Twists, realizations and Hopf algebroid structure of kappa-deformed phase space
• K-Poincare-Hopf algebra and Hopf algebroid structure of phase space from twist
• Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories
• Effects of Noncommutativity on the Black Hole Entropy
• Perturbative Quantum Gravity on Complex Spacetime
• Tunneling of massive particles from noncommutative inspired Schwarzschild black hole
• Braided $L_{\infty }$-Algebras, Braided Field Theory and Noncommutative Gravity
• Quantum statistics and noncommutative black holes
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
• Noncommutativity and logarithmic correction to the black hole entropy
• $\kappa$-Minkowski star product in any dimension from symplectic realization
• Quantum tunneling and spectroscopy of noncommutative inspired Kerr black hole
• Field Theory on Curved Noncommutative Spacetimes
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Noncommutative gravity and the relevance of the $\theta$-constant deformation
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Vacuum energy and the cosmological constant problem in $\kappa$-Poincaré invariant field theories
• Involutive representations of coordinate algebras and quantum spaces
• Noncommutative correction to the entropy of charged BTZ black hole
• Algebraic approach to quantum field theory on a class of noncommutative curved spacetimes
• Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes
• Tensor calculus on noncommutative spaces
• Noncommutativity and the Weak Cosmic Censorship
• Dirac field and gravity in NC $SO(2,3{)}_{\star }$ model
• Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
• Quantum space and quantum completeness
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Noncommutative Solitons of Gravity
• Phase structure of fuzzy black holes
• Noncommutative Reissner-Nordström black hole from noncommutative charged scalar field
• Emergent Abelian Gauge Fields from Noncommutative Gravity
• Newtonian cosmology and Evolution of kappa-deformed universe
• Spacetime Noncommutativity in Models with Warped Extradimensions
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• Symmetry Reduction and Exact Solutions in Twisted Noncommutative Gravity
• Dirac Operators on Noncommutative Curved Spacetimes
• Entropy of black holes, charged probes and noncommutative generalization
• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
• Noncommutative $D=5$ Chern-Simons Gravity: Kaluza-Klein Reduction and Chiral Gravitational Anomaly