Plasma magnetosphere of rotating magnetized neutron star in the braneworld

Abstract

Plasma magnetosphere surrounding rotating magnetized neutron star in the braneworld has been studied. For the simplicity of calculations Goldreich-Julian charge density is analyzed for the aligned neutron star with zero inclination between magnetic field and rotation axis. From the system of Maxwell equations in spacetime of slowly rotating star in braneworld, second-order differential equation for electrostatic potential is derived. Analytical solution of this equation indicates the general relativistic modification of an accelerating electric field and charge density along the open field lines by brane tension. The implication of this effect to the magnetospheric energy loss problem is underlined. It was found that for initially zero potential and field on the surface of a neutron star, the amplitude of the plasma mode created by Goldreich-Julian charge density will increase in the presence of the negative brane charge. Finally we derive the equations of motion of test particles in magnetosphere of slowly rotating star in the braneworld. Then we analyze particle motion in the polar cap and show that brane tension can significantly change conditions for particle acceleration in the polar cap region of the neutron star.

Plasma magnetosphere of slowly rotating magnetized neutron star in branewold

“…In this section we will study plasma magnetosphere of slowly rotating neutron star in the braneworld. In the spherical coordinates (t, r, θ, φ), the spacetime around the slowly rotating magnetized neutron star in the braneworld can be expressed by the following metric 18,19…”

“…where M and R are the total mass and the radius of the neutron star, respectively. The quantity Q * is brane parameter (or Weyl charge) that arises from the extra dimension 18 and it is negatively defined as Q * ≤ 0 and in the metric (1) ω * is the angular velocity of the dragging of inertial frames in the braneworld that can be written in the following form 16,19…”

“…The general form of GJ charge density ρ * GJ in the braneworld can be expressed in the following form 17,19 ρ…”

Electromagnetic fields of slowly rotating magnetized compact stars in conformal gravity

“…The electromagnetic signal detected from radio pulsars is mainly due the to the magneto-dipolar radiation from the rotating magnetized compact star. The energy loss due to the electromagnetic radiation causes the spin-down of the rotating relativistic star [9][10][11][12][13][14][15][16][17]. The structure of the pulsar magnetosphere and related astrophysical processes have been widely studied in literature, see e.g.…”

Neutrino trapping in extremely compact objects described by the internal Schwarzschild-(anti-)de Sitter spacetimes

“…Such a model is a natural one and its properties were widely discussed in the recent literature [1,6,9,21,28,29,35,36,47]. Due to the special braneworld matching conditions on the surface R of the braneworld compact stars, see [16,43] for details, their internal and external geometries are not smoothly matched (their derivatives differ at R), and the definition of ECS is more complex than in the case of internal Schwarzschild spacetimes; it depends on the value of the tidal charge b and it is not (always) directly related to the radius of the unstable photon circular orbit of the external spacetime (see [16,43] for details).…”