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Bertrand's theorem proves that inverse square and Hooke's law-type central forces are the only ones for which all bounded orbits are closed. Similar analysis was used to show that for other central force laws there exist closed orbits for a…

Classical Physics · Physics 2010-08-04 M. A. Reynolds , M. T. Shouppe

Arguably the simplest model of a cosmological singularity in string theory, the Lorentzian orbifold $\Real^{1,1}/boost$ is known to lead to severe divergences in scattering amplitudes of untwisted states, indicating a large backreaction…

High Energy Physics - Theory · Physics 2008-11-26 M. Berkooz , B. Pioline

We ask whether the recently discovered superstring and superfivebrane solutions of D=10 supergravity admit the interpretation of non-singular solitons even though, in the absence of Yang-Mills fields, they exhibit curvature singularities at…

High Energy Physics - Theory · Physics 2009-10-22 M. J. Duff , R. R. Khuri , J. X. Lu

Rotation of atoms in a lattice is studied using a Hubbard model. It is found that the atoms are still contained in the trap even when the rotation frequency is larger than the trapping frequency. This is very different from the behavior in…

Quantum Physics · Physics 2007-05-23 T. Wang , S. Yelin

We study the bound states of brane/antibrane systems by examining the motion of a probe antibrane moving in the background fields of N source branes. The classical system resembles the point-particle central force problem, and the orbits…

High Energy Physics - Theory · Physics 2009-11-10 C. P. Burgess , P. Martineau , F. Quevedo , R. Rabadan

We probe the open fundamental strings in Dp-brane (p=1, 3, 5) backgrounds and find new classes of rotating and orbiting string solutions. We show that for various worldsheet embedding ansatz we get solutions of the string equations of…

High Energy Physics - Theory · Physics 2015-06-23 Sagar Biswas , Kamal L. Panigrahi

I study electron movement in electromagnetic fields beyond the adiabatic approximation, using so-called Stormer theory. Some of the electron orbits are regular or integrable, but their measure is zero. Other orbits, called quasiperiodic,…

Classical Physics · Physics 2026-04-01 Dirk Dubbers

The classical rotation is not self-consistent in the framework of the special theory of relativity. the Relativistic rotation is obtained, which takes the relativistic effect into account. It is demonstrated that the angular frequency of…

General Physics · Physics 2023-04-05 Z. X. Cao , Ch. L. Chen , L. Liu

We study the geodesics of $5d$ Reissner-Nordstrom and nonsingular black strings, and establish a rational bound orbit taxonomy for both massive as well as null test particles. For the timelike case, test particles with high energy (that…

General Relativity and Quantum Cosmology · Physics 2022-11-22 A S. Habibina , H. S. Ramadhan

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of 4-dimensional N=2 super-symmetric gauge theories. The specific model considered here posseses U(2)local x SU(2)global symmetry, with two…

High Energy Physics - Theory · Physics 2016-07-25 Peter Forgacs , Arpad Lukacs , Fidel A. Schaposnik

We discuss the existence and stability of circular orbits of a relativistic point particle moving in a central force field. The stability condition is somewhat more restrictive in Special Relativity. In the particular case of attractive…

Physics Education · Physics 2016-08-16 J M Aguirregabiria , A Hernández , M Rivas

We study the motion of test particles around a center of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan & Morgan discs. We deal with two kinds of…

Earth and Planetary Astrophysics · Physics 2012-09-24 Javier Ramos-Caro , Juan F. Pedraza , Patricio S. Letelier

Constraints on spin observables coming from discrete symmetries such as P, C, T and identical particles may be divided in two types: 1) classical ones, which insure the invariance of the cross sections under the symmetry operation; 2)…

High Energy Physics - Phenomenology · Physics 2008-01-17 X. Artru

We study the cohomological physics of fivebranes in type II and heterotic string theory. We give an interpretation of the one-loop term in type IIA, which involves the first and second Pontrjagin classes of spacetime, in terms of…

Algebraic Topology · Mathematics 2009-12-10 Hisham Sati , Urs Schreiber , Jim Stasheff

A decomposition of the angular momentum of the classical electromagnetic field into orbital and spin components that is manifestly gauge invariant and general has been obtained. This is done by decomposing the electric field into its…

Classical Physics · Physics 2007-05-23 A. M. Stewart

We study the solutions for fundamental string rotating in a background generated by a 1+1 dimensional intersection of two orthogonal stacks of fivebranes in type IIB string theory. We show the existence of magnon like solutions for the…

High Energy Physics - Theory · Physics 2010-02-03 J. Kluson , Bum-Hoon Lee , Kamal L. Panigrahi , Chanyong Park

The properties of a stationary massive string endowed with intrinsic angular momentum are investigated. The spacetime is generated by an "improper" time translation combined with uniform rotation. The mass per unit length of the string is…

High Energy Physics - Theory · Physics 2008-11-26 Hristu Culetu

A rotating cosmic string spacetime has a singularity along a timelike curve corresponding to a one-dimensional source of angular momentum. Such spacetimes are not globally hyperbolic: they admit closed timelike curves near the string. This…

Analysis of PDEs · Mathematics 2023-12-25 Katrina Morgan , Jared Wunsch

Planetary orbits, being conic sections, may be obtained as the locus of intersection of planes and cones. The planes involved are familiar to anyone who has studied the classical Kepler problem. We focus here on the cones.

Classical Physics · Physics 2012-01-24 Terry R. McConnell

It has been shown that 5-dimensional general relativity action extended by appropriate quadratic terms admits a singular superconducting cosmic string solution. We search for cosmic strings endowed with similar and extended physical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mustapha Azreg-Aïnou