#### Presentation Title

Motion of a Charged Particle Within a Rotating Black Hole

#### Faculty Mentor

Shohreh Abdolrahimi, Christos Tzounis

#### Start Date

18-11-2017 9:45 AM

#### End Date

18-11-2017 10:00 AM

#### Location

9-239

#### Session

Physical Sciences 4

#### Type of Presentation

Oral Talk

#### Subject Area

physical_mathematical_sciences

#### Abstract

Black holes can gain a weak magnetic field from the matter accreting around it. In order to characterize the properties of a black hole with a magnetic field, we are required to study the motion of a test charged particle around a rotating black hole with a weak magnetic field. We will focus particularly on the behavior of the particle in the innermost stable circular orbit (ISCO) and other possible stable circular orbits (SCO) that the particle can have. For this research, we will pay attention to the spin parameters of alpha = 0.5 and B = 0.24 which denote rotation and charge respectively. Using numerical computations, we can observe the trajectory of the particle after it gets kicked out of its orbit which can be plotted using the numerical computing environment Maple. Other important plots that we generate pay attention to the radius, energy, and angular momentum of the particle. The plots that we have generated behave as we expected and we hope to use the results to compare the ISCO and SCO orbits to any unstable orbits that the particle might traverse.

#### Summary of research results to be presented

In this project, we need to first create a code via C++ capable of giving us trajectory values of the charged particle in the weakly magnetized Kerr Black Hole. By using Maple, we are then able to create a 2D plot along with a 3D Trajectory plot from these values. To assess the accuracy of the code, we will check it alongside Shoise and Kimura’s *Motion of Charged Particles around a Weakly Magnetized Rotating Black Hole,* which provides information about a charged particle whose radius starting from ISCO (Innermost stable circular orbit). Once confirmed that the information produced from our code matches with what Shoise and Kimura obtained, we can then look upon studying charged particles whose radii are not within ISCO.

Motion of a Charged Particle Within a Rotating Black Hole

9-239

Black holes can gain a weak magnetic field from the matter accreting around it. In order to characterize the properties of a black hole with a magnetic field, we are required to study the motion of a test charged particle around a rotating black hole with a weak magnetic field. We will focus particularly on the behavior of the particle in the innermost stable circular orbit (ISCO) and other possible stable circular orbits (SCO) that the particle can have. For this research, we will pay attention to the spin parameters of alpha = 0.5 and B = 0.24 which denote rotation and charge respectively. Using numerical computations, we can observe the trajectory of the particle after it gets kicked out of its orbit which can be plotted using the numerical computing environment Maple. Other important plots that we generate pay attention to the radius, energy, and angular momentum of the particle. The plots that we have generated behave as we expected and we hope to use the results to compare the ISCO and SCO orbits to any unstable orbits that the particle might traverse.