<p>In this work, we examine the dynamic motion of a test particle possessing both electrical charge and magnetic dipole moment in the presence of a Reissner–Nordström (RN) black hole (BH) situated within an externally asymptotically uniform magnetic field. The interaction between the external magnetic field and the motion of the test particle near the black hole was primarily discussed through the Lorentz force. In our study, the peak value of the effective potential of the particles decreases with increasing magnetic coupling parameter, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\beta $</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation>. Additionally, the effects of the magnetic coupling parameter and the cyclotron frequency <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\omega _0$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ω</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> on the specific energy and angular momentum of the test particles for stable circular orbits are analyzed. An increase in both <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$\beta $</EquationSource> <EquationSource Format="MATHML"><math> <mi>β</mi> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$\omega _0$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ω</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation> is found to cause a decrease in both the specific energy and angular momentum of the test particles. We also derive the expression of magnetic coupling parameters for the black hole, and the correspondence to the external magnetic field is analyzed. Our study also focuses on the center-of-mass energy, <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$E_{cm}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi mathvariant="italic">cm</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>, of colliding particles. An increase in the magnetic coupling parameter leads to a decrease in the center-of-mass energy extracted by the collision of two particles.</p>

Electromagnetic interactions in magnetized Reissner–Nordström black holes

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发表日期：

2025年12月2日

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Chiging Lasa Polo,
Heisnam Shanjit Singh

摘要

In this work, we examine the dynamic motion of a test particle possessing both electrical charge and magnetic dipole moment in the presence of a Reissner–Nordström (RN) black hole (BH) situated within an externally asymptotically uniform magnetic field. The interaction between the external magnetic field and the motion of the test particle near the black hole was primarily discussed through the Lorentz force. In our study, the peak value of the effective potential of the particles decreases with increasing magnetic coupling parameter, $\beta $ $β$ . Additionally, the effects of the magnetic coupling parameter and the cyclotron frequency $\omega _0$ $ω_{0}$ on the specific energy and angular momentum of the test particles for stable circular orbits are analyzed. An increase in both $\beta $ $β$ and $\omega _0$ $ω_{0}$ is found to cause a decrease in both the specific energy and angular momentum of the test particles. We also derive the expression of magnetic coupling parameters for the black hole, and the correspondence to the external magnetic field is analyzed. Our study also focuses on the center-of-mass energy, $E_{cm}$ $E_{cm}$ , of colliding particles. An increase in the magnetic coupling parameter leads to a decrease in the center-of-mass energy extracted by the collision of two particles.