Deforming Einstein's Gravity

Abstract

A deformation of Einstein Gravity is constructed based on gauging the noncommutative ISO(3,1) group using the Seiberg-Witten map. The transformation of the star product under diffeomorphism is given, and the action is determined to second order in the deformation parameter.

9 pages

References in corpus (3)

• String Theory and Noncommutative Geometry
• D-branes and Deformation Quantization
• Noncommutative SO(n) and Sp(n) Gauge Theories

Cited by in corpus (155)

• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• A Gravity Theory on Noncommutative Spaces
• Quantum Gravity: a Progress Report
• Noncommutative Geometry and Gravity
• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Symmetry, Gravity and Noncommutativity
• Noncommutative Quantum Cosmology
• Noncommutative General Relativity
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Noncommutative Inspired Black Holes in Extra Dimensions
• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
• Noncommutative Gravity
• Topics in Noncommutative Geometry Inspired Physics
• Twisting all the way: from Classical Mechanics to Quantum Fields
• Parikh-Wilczek Tunneling from Noncommutative Higher Dimensional Black Holes
• Second Order Noncommutative Corrections to Gravity
• Exact Solutions with Noncommutative Symmetries in Einstein and Gauge Gravity
• A note on the noncommutative correction to gravity
• An Invariant Action for Noncommutative Gravity in Four-Dimensions
• SL(2,C) Gravity with Complex Vierbein and Its Noncommutative Extension
• Noncommutative Self-dual Gravity
• Lie algebraic Noncommutative Gravity
• Noncommutative deformation of four dimensional Einstein gravity
• Constraining non-commutative space-time from GW150914
• Noncommutative Gravity in two Dimensions
• Three-dimensional Noncommutative Gravity
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Deformed Reissner--Nordstrom solutions in noncommutative gravity
• Gravitational signatures of a non--commutative stable black hole
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Noncommutative Topological Theories of Gravity
• Finsler Black Holes Induced by Noncommutative Anholonomic Distributions in Einstein Gravity
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Geodesic equation in $k$-Minkowski spacetime
• Noncommutative corrections to classical black holes
• Noncommutative Einstein-AdS Gravity in three Dimensions
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• NC $SO(2,3{)}_{\star }$ gravity: noncommutativity as a source of curvature and torsion
• Gravity on Noncommutative D-Branes
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Emergent gravity on covariant quantum spaces in the IKKT model
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Noncommutative Inspired Reissner-Nordström Black Holes in Large Extra Dimensions
• Spherically Symmetric Noncommutative Space: d = 4
• Noncommutative Symmetries and Gravity
• Gauge theories on quantum spaces
• Effects of non-commutative geometry on black hole properties
• Teleparallel Complex Gravity as Foundation for Noncommutative Gravity
• Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows
• Cosmological Time Crystal: Cyclic Universe with a small $\Lambda$ in a toy model approach
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Geometries and Gravity
• Noncommutative BTZ Black Hole in Polar Coordinates
• Can noncommutative effects account for the present speed up of the cosmic expansion?
• Exact Black Hole Solutions in Noncommutative Gravity
• Braided $L_{\infty }$-Algebras, Braided Field Theory and Noncommutative Gravity
• Four-dimensional Gravity on a Covariant Noncommutative Space
• Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms
• Noncommutative SO(2,3) gauge theory and noncommutative gravity
• Non-commutative black holes of various genera in the connection formalism
• Geodesic equation in non-commutative gauge theory of gravity
• Noncommutative Einstein-Maxwell pp-waves
• AdS-inspired noncommutative gravity on the Moyal plane
• Braided Symmetries in Noncommutative Field Theory
• Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem
• Gravity on a fuzzy sphere
• Quasinormal Modes in Noncommutative Schwarzschild black holes
• On some models of geometric noncommutative general relativity
• Diffeomorphism covariant star products and noncommutative gravity
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Bound of Noncommutativity Parameter Based on Black Hole Entropy
• Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
• Particle production induced by a Lorentzian non-commutative spacetime
• Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Seiberg--Witten maps for $\mathbf{SO}(1,3)$ gauge invariance and deformations of gravity
• Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
• Field Theory on Curved Noncommutative Spacetimes
• Noncommutative Corrections to the Robertson-Walker metric
• A Non-Commutative Kalb-Ramond Black Hole
• Properties of an axisymmetric Lorentzian non-commutative black hole
• Theta-twisted Gravity
• Gauging the twisted Poincare symmetry as noncommutative theory of gravitation
• Galilean symmetry in noncommutative Gravitational Quantum Well
• Noncommutative Geometry and Fluid Dynamics
• Noncommutative Gauge Theory and Gravity in Three Dimensions
• (Non)Commutative Finsler Geometry from String/M--theory
• SL(2,C) gravity on noncommutative space with Poisson structure
• Non-commutativity in Hayward spacetime
• Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves
• Constructing noncommutative black holes
• Discrete Nonlocal Waves
• Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes
• Thermodynamics of noncommutative quantum Kerr black holes
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Noncommutative gravity and the relevance of the $\theta$-constant deformation
• Conceptual Unification of Gravity and Quanta
• Noncommutative gravity with self-dual variables
• Komar energy and Smarr formula for noncommutative Schwarzschild black hole
• Noncommutative AdS Supergravity in three Dimensions
• Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric
• Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
• Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
• Noncommutative Electrodynamics from $SO(2,3{)}_{\star }$ Model of Noncommutative Gravity
• Dirac field and gravity in NC $SO(2,3{)}_{\star }$ model
• Non-commutative Kerr black hole
• Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle
• Emergent Noncommutative gravity from a consistent deformation of gauge theory
• Gauge field theories with covariant star-product
• Intertwining noncommutativity with gravity and particle physics
• Thermodynamics of high order correction for Schwarzschild-AdS black hole in non-commutative geometry
• Evaporating Quantum Lukewarm Black Holes Final State From Back-Reaction Corrections of Quantum Scalar Fields
• Noncommutative Solitons of Gravity
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Nonassicative cosmological solitonic R-flux deformations in gauge gravity and G. Perelman geometric flow thermodynamics
• U(2,2) gravity on noncommutative space with symplectic structure
• Poincare gauge theory from higher derivative matter lagrangean
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
• A Remark on Polar Noncommutativity
• Quantum Entanglement of Fermions- Antifermions Pair Creation modes in Non-commutative Bianchi I Space-time
• Non-commutativity in polar coordinates
• Emergent Abelian Gauge Fields from Noncommutative Gravity
• Gravity in Extreme Regions Based on Noncommutative Quantization of Teleparallel Gravity
• Homotopy Lie Algebras of Gravity and their Braided Deformations
• Sakharov's induced gravity and the Poincaré gauge theory
• Quasinormal modes and greybody factor of charged black hole in non-commutative geometry
• Canonical Deformation of $N=2$ $Ad{S}_4$ SUGRA
• The fuzzy BTZ
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Matrix model for noncommutative gravity and gravitational instantons
• Axisymmetric black hole in a non-commutative gauge theory: classical and quantum gravity effects
• Quantum mechanics of a charged particle in a background magnetic field interacting with linearized gravitational waves
• Lyapunov exponents and geodesic stability of Schwarzschild black hole in the non-commutative gauge theory of gravity
• Noncommutative Quantum Cosmology for the FLRW model in Unimodular Gravity
• Commutative deformations of general relativity: nonlocality, causality, and dark matter
• Noncommutative Gauge Theories and Gravity
• Some singular spacetimes and their possible alternatives
• Interaction of a circularly polarised gravitational wave with a charged particle in a static magnetic background
• Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"
• A general relativity formulation for the Doplicher-Fredenhagen-Roberts noncommutative space-time
• A note on the implementation of Poincaré symmetry in noncommutative field theory
• Noncommutative Topological Half-flat Gravity
• On 2d gravity and parallel transport field equation on quantum sphere
• Dimensional Reduction of Supersymmetric Gauge Theories
• Quantum Space-Time and Noncommutative Gauge Field Theories
• Spin Quantum Entanglement in a General Curved Static Space-Time
• Gravitational-wave constraints on noncommutative spacetime from GW190814
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Theories on noncommutative spaces and deformed symmetries
• Gauge theory models on $\kappa$-Minkowski space: Results and prospects
• Gauge Theories on Fuzzy Spaces and Gravity
• Neutrino-Antineutrino Asymmetry From The Space-time Noncommutativity
• Quantum Spacetimes from General Relativity?
• Effects of curvature and gravity from flat spacetime