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Non-Riemannian gravitational interactions

Robin Tucker, Charles Wang (1997)

Banach Center Publications

Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.

On a two-body problem of classical relativistic electrodynamics.

A. Casal, Rosario Martinez Herrero, M.A. Vences (1980)

Revista Matemática Hispanoamericana

Formulating the two-body problem of classical relativistic electrodynamics in terms of action at a distance and using retarded potential, the equations of one-dimensional motion are functional differential equations of the retarded type. For this kind of equations, in general it is not enough to specify instantaneous data to specify unique trajectories. Nevertheless, Driver (1969) has shown that under special conditions for these electrodynamic equations, there exists an unique solution for this...

On Axiomatic Foundations Common to Classical Physics and Special Relativity

Aldo Bressan (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

(i) The class of the axiomatic foundations mentioned in the title is called Ax Found; and its structure is treated in the introduction. (ii) This consists of Parts A to G followed by the References. (iii) In [17] Bressan's modal logic is treated in a consciously non-rigorous way. Instead here, as well as Ax Found, it has a rigorous treatment. Such a treatment had been appreciated by the mathematical physicist C. Truesdell in [62]. (iv) In 1953 Truesdell had a remarkable...

On path integration on noncommutative geometries

Achim Kempf (1997)

Banach Center Publications

We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as `momentum spaces' over curved spaces, for which we can now give the full set of commutation relations in coordinate free form, based on the Synge world function.

Currently displaying 241 – 260 of 498