Dust in the York canonical basis of ADM tetrad gravity: The problem of vorticity

DOI10.1142/S0219887815500760zbMath1331.83005arXiv1106.0403MaRDI QIDQ3459146

David Alba, Luca Lusanna

Publication date: 30 December 2015

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

Full work available at URL: https://arxiv.org/abs/1106.0403

zbMATH Keywords

linearizationMinkowski space-timegeneral relativityHamilton equationsfluidsperfect fluidsADM tetrad gravityYork canonical basisclock synchronization gauge freedomglobally hyperbolic, asymptotically Minkowskian space-times

Mathematics Subject Classification ID

Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Special relativity (83A05) Equations of motion in general relativity and gravitational theory (83C10) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (3)

Hamiltonian ADM Gravity in Non-Harmonic Gauges with Well Defined Non-Euclidean 3-Spaces: How Much Darkness can be Explained as a Relativistic Inertial Effect? ⋮ Variational principle of relativistic perfect fluid ⋮ Inclusion of a perfect fluid term into the Einstein–Hilbert action

Cites Work

• Hamiltonian expression of curvature tensors in the York canonical basis: (II) Weyl tensor, Weyl scalars, Weyl eigenvalues and the problem of the observables of the gravitational field
• Multipolar expansions for closed and open systems of relativistic particles
• CHARGED PARTICLES AND THE ELECTRO-MAGNETIC FIELD IN NONINERTIAL FRAMES OF MINKOWSKI SPACE–TIME II: "APPLICATIONS: ROTATING FRAMES, SAGNAC EFFECT, FARADAY ROTATION, WRAP-UP EFFECT"
• An Introduction to General Relativity and Cosmology

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