Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory

Abstract

Properties of the motion of electrically charged particles in the background of the Gibbons-Maeda-GarfinkleHorowitz-Strominger black hole is presented in this paper. Radial and angular motions are studied analytically for different values of the fundamental parameter. Therefore, gravitational Rutherford scattering and Keplerian orbits are analyzed in detail. Finally, this paper complements previous work by Fernando for null geodesics (Phys Rev D 85:024033,

Motion of magnetically charged particles in a magnetically charged stringy black hole spacetime

“…Analyzing the effective potential, we found that bound orbits exist for E < m, while for E ≥ m the orbits are unbound, where m and E are the mass and energy of the test particle. In analogy to the Gravitational Rutherford scattering observed in [14] we have observed the dispersion between the magnetic charge of the black hole and the magnetic charge of the test particle, which we have called Magnetic Rutherford scattering. Finally, we have studied two observables, the perihelion shift and the Lense-Thirring effects.…”

“…We found that, the radial r-motion and time t-motion depends on the mass and the magnetic charge of the test particle, while angular-motion depends only on the electric charge of the test particle. We note that in the case of a test particle moving in the background of electrically charged GHS black hole, its radial motion depends on the parameters that define the test particle, that is, the mass and electric charge of the test particle [14].…”

“…[8,9], and the timelike geodesics were analyzed in [9][10][11][12][13]. Additionally, in [14] the gravitational Rutherford scattering and Keplerian orbits were studied in the GHS black hole background.…”

Theoretical Modelling of Charge Transport Properties of Individual Single-Wall Carbon Nanotubes

“…The probability of scattering by impurities for three-dimensional metallic carbon nanotubes is described classically by Rutherford scattering theory [11][12], 13 4 1 .…”

Motion and collision of particles in a rotating linear dilaton black hole

“…[13,14], and the timelike geodesics were analyzed in [14][15][16][17][18]. Additionally, in [19] the gravitational Rutherford scattering and Keplerian orbits were studied in the GHS black hole background and the motion of massive particles with electric and magnetic charges in the background of a magnetically charged GHS stringy black hole in Ref. [20].…”