Einstein field equations extended to fractal manifolds: a fractal perspective
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Publication:6187296
DOI10.1016/j.geomphys.2023.105081OpenAlexW4389627728MaRDI QIDQ6187296
Palle E. T. Jorgensen, Alireza Khalili Golmankhaneh, A. M. Schlichtinger
Publication date: 15 January 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.105081
Fractals (28A80) Manifolds of metrics (especially Riemannian) (58D17) Real-analytic manifolds, real-analytic spaces (32C05) Einstein equations (35Q76)
Cites Work
- Fractional Laplacian in conformal geometry
- Transformation of spectra of graph laplacians
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Polynomials on the Sierpiński gasket with respect to different Laplacians which are symmetric and self-similar
- Fundamental theorems of calculus for Hausdorff measures on the real line
- Fractal calculus on [0,1]
- Some fundamental results of calculus on fractal sets
- The oscillation of the occupation time process of super-Brownian motion on Sierpiński gasket
- Derivatives not first return integrable on a fractal set
- Sub- and super-diffusion on Cantor sets: beyond the paradox
- Geometry of fractional spaces
- Sumudu transform in fractal calculus
- Fractional dynamics from Einstein gravity, general solutions, and black holes
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Pseudo-differential operators on fractals and other metric measure spaces
- A unified modelling and simulation for coupled anomalous transport in porous media and its finite element implementation
- Dimension results and local times for superdiffusions on fractals
- ON THE FUNDAMENTAL THEOREM OF CALCULUS FOR FRACTAL SETS
- Fractals in Probability and Analysis
- Quantum Fractals
- CALCULUS ON FRACTAL CURVES IN Rn
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
- Fractafolds based on the Sierpinski gasket and their spectra
- Energy partition on fractals
- Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review
- Stochastic differential equations on fractal sets
- Fractal Calculus and its Applications
- Fractal Dimensions of Networks
- Fractional Equations and Models
- RIEMANN-CHRISTOFFEL TENSOR IN DIFFERENTIAL GEOMETRY OF FRACTIONAL ORDER APPLICATION TO FRACTAL SPACE-TIME
- Local Fractal Fourier Transform and Applications
- On the variable order fractional calculus of fractal interpolation functions
- Geometry and Laplacian on discrete magic carpets
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