Abstract
Neutron stars manifest themselves as different classes of astrophysical sources that are associated to distinct phenomenology. Here we focus our attention on magnetars (or strongly magnetized neutron stars) that are associated to Soft Gamma Repeaters and Anomalous X-ray Pulsars. The magnetic field on surface of these objects, reaches values greater than [Formula: see text] G. Under intense magnetic fields, relativistic effects begin to be decisive for the definition of the structure and evolution of these objects. We are tempted to question ourselves to how strengths fields affect the structure of neutron star. In this work, our objective is study and compare two solutions of Einstein-Maxwell equations: the Bonnor solution, which is an analytical solution that describe the exterior spacetime for a massive compact object which has a magnetic field that is characterize as a dipole field and a complete solution that describe the interior and exterior spacetime for the same source found by numerical methods). For this, we describe the geodesic equations generated by such solutions. Our results show that the orbits generated by the Bonnor solution are the same as described by numerical solution. Also, show that the inclusion of magnetic fields with values up to [Formula: see text]G in the center of the star does not modify sharply the particle orbits described around this star, so the use of Schwarzschild solution for the description of these orbits is a reasonable approximation.
Highlights
In scope of high-energy astrophysics, magnetic fields are studied in white dwarfs, neutron stars, pulsars and black holes
In this work we will present the equations of geodesics that describe the movement of particles around a compact object with a dipole magnetic field in two distinct approaches, the first one an analytical approach built from the solution describe by Bonnor 4, but removing the description of the electric field; and the second a numerical approach developed from the LORENE code, known in the literature 5,6, which makes use of pseudo-spectral numerical technique
The gist of this paper is study and compare solutions that describing the exterior spacetime of a magnetic dipole mass source m from two distinct approaches: an numerical and a analytical solution
Summary
In scope of high-energy astrophysics, magnetic fields are studied in white dwarfs, neutron stars, pulsars and black holes. Magnetars are neutron stars highly magnetized, the magnetic fields present on the object surfaces are of the order of 1014 − 1015 G and can reach even greater values in its center; this makes them the strongest magnets in the present universe since the combination of the This is an Open Access article published by World Scientific Publishing Company. Duncan and Thompson 1–3 were the first to try to explain this by proposing that the decay of a super-strong magnetic field supports this high observed values of secular spin-down rate and spin periods In this astrophysical ambient form by massive objects and with an intensive magnetic field, the use of the general relativity is essential for the description of the structure of these objects. In this work we will present the equations of geodesics that describe the movement of particles around a compact object with a dipole magnetic field in two distinct approaches, the first one an analytical approach built from the solution describe by Bonnor 4, but removing the description of the electric field; and the second a numerical approach developed from the LORENE code, known in the literature 5,6, which makes use of pseudo-spectral numerical technique
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Modern Physics: Conference Series
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
