FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY

DOI10.1142/S0219887808002898zbMath1152.53016arXiv0801.4958OpenAlexW3099509985MaRDI QIDQ3519808

Sergiu I. Vacaru

Publication date: 19 August 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4958

Mathematics Subject Classification ID

Unified, higher-dimensional and super field theories (83E99) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of local differential geometry to the sciences (53B50) Exact solutions to problems in general relativity and gravitational theory (83C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items

TWO-CONNECTION RENORMALIZATION AND NON-HOLONOMIC GAUGE MODELS OF EINSTEIN GRAVITY, Super-luminal effects for Finsler branes as a way to preserve the paradigm of relativity theories, Einstein gravity in almost Kähler variables and stability of gravity with nonholonomic distributions and nonsymmetric metrics, Black ring and Kerr ellipsoid — Solitonic configurations in modified Finsler gravity, Berwald-type and Yano-type connections on Lie algebroids, METRIC COMPATIBLE OR NON-COMPATIBLE FINSLER–RICCI FLOWS, Black holes, ellipsoids, and nonlinear waves in pseudo-Finsler spaces and Einstein gravity, On supersymmetric geometric flows and \(\mathcal R^2\) inflation from scale invariant supergravity, Weyl’s theory in the generalized Lie algebroids framework, Modified Einstein and Finsler like theories on tangent Lorentz bundles, Dynamical effect of electromagnetic wave in spherical symmetrical Finsler spacetime, Born's reciprocal gravity in curved phase-spaces and the cosmological constant, New classes of off-diagonal cosmological solutions in Einstein gravity, Quaternionic-valued gravitation in \(8D\), grand unification and Finsler geometry, Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids, Fractional nonholonomic Ricci flows, On almost \(\varphi\)-Lagrange spaces, Killing vector fields of horizontal Liouville type, Modified dispersion relations in Hořava-Lifshitz gravity and Finsler brane models, Fedosov quantization of fractional Lagrange spaces, Cosmological solutions and finite time singularities in Finslerian geometry, A spherical symmetrical spacetime solution in Finsler gravity, ON GENERAL SOLUTIONS OF EINSTEIN EQUATIONS, NONHOLONOMIC DISTRIBUTIONS AND GAUGE MODELS OF EINSTEIN GRAVITY, The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces, GENERALIZATION OF RINDLER POTENTIAL AT CLUSTER SCALES IN RANDERS–FINSLERIAN SPACETIME: A POSSIBLE EXPLANATION OF THE BULLET CLUSTER 1E0657-558?, Curve flows and solitonic hierarchies generated by Einstein metrics, PSEUDO-FINSLERIAN SPACE–TIMES AND MULTIREFRINGENCE, On general solutions for field equations in Einstein and higher dimension gravity, Nonholonomic black ring and solitonic solutions in Finsler and extra dimension gravity theories, The entropy of Lagrange-Finsler spaces and Ricci flows, Fractional dynamics from Einstein gravity, general solutions, and black holes, Einstein gravity in almost Kähler and Lagrange-Finsler variables and deformation quantization, Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows, Curve flows in Lagrange-Finsler geometry, bi-Hamiltonian structures and solitons, Nonholonomic Ricci flows, exact solutions in gravity, and symmetric and nonsymmetric metrics, BRANES AND QUANTIZATION FOR AN A-MODEL COMPLEXIFICATION OF EINSTEIN GRAVITY IN ALMOST KÄHLER VARIABLES, A Kähler structure on Finsler spaces with nonzero constant flag curvature, The Deformation of an $(\alpha, \beta)$-Metric, AN AP-STRUCTURE WITH FINSLERIAN FLAVOR II: TORSION, CURVATURE AND OTHER OBJECTS, The variational problem in lagrange spaces endowed with a special type of (α,β)-metrics, PRINCIPLES OF EINSTEIN–FINSLER GRAVITY AND PERSPECTIVES IN MODERN COSMOLOGY, Spinor and twistor geometry in Einstein gravity and Finsler modifications

Cites Work

• Locally anisotropic gravity and strings
• A Kähler structure on the nonzero tangent bundle of a space form
• Gauge and Einstein gravity from non-abelian gauge models on noncommutative spaces
• Locally anisotropic structures and nonlinear connections in Einstein and gauge gravity
• Nonlinear connections and nearly autoparallel maps in general relativity
• Yang-Mills fields and gauge gravity on generalized Lagrange and Finsler spaces
• Fermat principle in Finsler spacetimes
• Lagrange–Fedosov nonholonomic manifolds
• Exact solutions with noncommutative symmetries in Einstein and gauge gravity
• Some Gravitational Waves
• Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures
• PARAMETRIC NONHOLONOMIC FRAME TRANSFORMS AND EXACT SOLUTIONS IN GRAVITY
• Deformation quantization of almost Kähler models and Lagrange-Finsler spaces
• Spinor structures and nonlinear connections in vector bundles, generalized Lagrange and Finsler spaces
• The Large Scale Structure of Space-Time
• Higher-order mechanical systems with constraints
• General Relativity
• Lagrange geometry
• Gravitational Lorentz violations and adjustment of the cosmological constant in asymmetrically warped spacetimes
• Anholonomic frames, generalized Killing equations, and anisotropic Taub-NUT spinning spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item