Born's reciprocal gravity in curved phase-spaces and the cosmological constant

DOI10.1007/s10701-012-9645-9zbMath1257.83006OpenAlexW2067440150MaRDI QIDQ1929310

Carlos Castro

Publication date: 7 January 2013

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-012-9645-9

zbMATH Keywords

Finsler geometryBorn's reciprocal relativityBrans-Dicke-Jordan GravityHamilton-Cartan spaces

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Kaluza-Klein and other higher-dimensional theories (83E15) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (3)

Black holes, ellipsoids, and nonlinear waves in pseudo-Finsler spaces and Einstein gravity ⋮ On Clifford space relativity, black hole entropy, rainbow metrics, generalized dispersion and uncertainty relations ⋮ The extended relativity theory in Clifford phase spaces and modifications of gravity at the Planck/Hubble scales

Cites Work

• Unnamed Item
• Reciprocal relativity of noninertial frames and the quaplectic group
• The geometry of Lagrange spaces: theory and applications
• A generalization of the relativistic theory of gravitation
• A generalization of the relativistic theory of gravitation. II
• SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES
• Lagrangian–Hamiltonian unified formalism for autonomous higher order dynamical systems
• FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY
• CONFORMAL THEORIES, CURVED PHASE SPACES, RELATIVISTIC WAVELETS AND THE GEOMETRY OF COMPLEX DOMAINS
• Canonically relativistic quantum mechanics: Representations of the unitary semidirect Heisenberg group, U(1,3)⊗sH(1,3)
• Representations of the canonical group, (the semidirect product of the unitary and Weyl$ndash$Heisenberg groups), acting as a dynamical group on noncommutative extended phase space
• Regularity theorems in the nonsymmetric gravitational theory
• A suggestion for unifying quantum theory and relativity
• On Quantized Space-Time
• Reciprocity Theory of Elementary Particles
• Noncommutative quantum gravity
• The geometry of Hamilton and Lagrange spaces
• Complexified gravity in noncommutative spaces.
• Quasi-local conservation equations in general relativity
• Anholonomic frames, generalized Killing equations, and anisotropic Taub-NUT spinning spaces

This page was built for publication: Born's reciprocal gravity in curved phase-spaces and the cosmological constant