A. B. Balakin, R. K. Muharlyamov
A three-parameter toy-model, which describes a non-minimal coupling of gravity field with electromagnetic field of a relativistic two-component electrically neutral plasma, is discussed. Resonance interactions between particles and transversal waves in plasma are shown to take place due to the curvature coupling effect.
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A theoretical study of some electrodynamic features of a region close to a {\it slowly-rotating} magnetized relativistic star is performed. To be a little more specific, based on the solution-generating method given by Wald, the magnetic fields around both uncharged and (slightly) charged relativistic stars have been obtained. Particularly for a charged relativistic star, again following the argument by Wald, the star was shown to gradually accrete charge until it reached an equilibrium value $\tilde{Q}=2B_{0}J$. This value of the equilibrium charge seems to be generic as a rotating black hole…
We find the quantum power emitted and distribution in $3+1$-dimensions of relativistic acceleration radiation using a single perfectly reflecting mirror via Lorentz invariance demonstrating close analogies to point charge radiation in classical electrodynamics.
Exact formulations of relativistic electrodynamics and magnetohydrodynamics with helically coupled scalar field
针对含螺旋耦合标量场的流体、标量场与电磁场三组分系统，推导协变、ADM及完全非线性精确微扰三种表述，并给出宇宙学背景下的弱引力极限。
Simulating Axion Electrodynamics in Magnetized Plasmas: Energy transfer in the inhomogeneous and strongly varying limit
研究轴子在磁化等离子体中诱导的电磁响应，重点在于高非均匀和强烈变化背景下的能量传输与损耗，通过频域和时域模拟分析光子激发效率、阿列夫波间接激发及局部等离子体下密度中的电场激发。
Self-Dual Electrodynamics via the Characteristic Method: Relativistic and Carrollian Perspectives
本文通过特征方法研究自对偶电动力学，揭示了相对论和卡罗尔框架下新类别的自对偶理论及对偶性在超相对论范围内的新方向。
The effect of electromagnetic radiation birefringence in the field of a relativistically rotating pulsar or magnetar within the framework of vacuum nonlinear electrodynamic
在参数化后麦克斯韦真空电动力学框架下，研究X射线/伽马射线脉冲在相对论旋转脉冲星电磁场中的传播，推导轨迹、计算非线性延迟并分析偏振态变化。
Recently, the authors presented a covariant extension of the Generalized Uncertainty Principle (GUP) with a Lorentz invariant minimum length. This opens the way for constructing and exploring the observable consequences of minimum length in Relativistic Quantum Field Theories. In particular, we compute quantum gravity corrections to high energy scattering experiments, which may provide the much needed window of testing minimum length and quantum gravity theories in the laboratory. To this end, we formulate the Lagrangian of Quantum Electrodynamics for a complex scalar fields from the GUP modif…
A new approach to classical electrodynamics is presented, showing that it can be regarded as a particular case of the most general relativistic force field. In particular, at first it is shown that the structure of the Lorentz force comes directly from the structure of the three-force transformation law, and that E and B fields can be defined, which in general will depend not only on the space-time coordinate, but also on the velocity of the body acted upon. Then it is proved that these fields become independent from the body velocity if the force field propagates throughout space at the relat…
We present GiRaFFE, the first open-source general relativistic force-free electrodynamics (GRFFE) code for dynamical, numerical-relativity generated spacetimes. GiRaFFE adopts the strategy pioneered by McKinney and modified by Paschalidis and Shapiro to convert a GR magnetohydrodynamic (GRMHD) code into a GRFFE code. In short, GiRaFFE exists as a modification of IllinoisGRMHD, a user-friendly, open-source, dynamical-spacetime GRMHD code. Both GiRaFFE and IllinoisGRMHD leverage the Einstein Toolkit's highly-scalable infrastructure to make possible large-scale simulations of magnetized plasmas i…
A theory of magnetized pair plasma is obtained by the method of bosonization on the lowest Landau level. Force-free electrodynamics emerges in the strong-field limit. Potential applications to neutron star magnetospheres are suggested.
Force-free electrodynamics (FFE) is a closed set of equations for the electromagnetic field of a magnetically dominated plasma. There are strong arguments for the existence of force-free plasmas near pulsars and active black holes, but FFE alone cannot account for the observational signatures, such as coherent radio emission and relativistic jets and winds. We reformulate FFE as the effective field theory of a cold string fluid and initiate a systematic study of corrections in a derivative expansion. At leading order the effective theory is equivalent to (generalized) FFE, with the strings com…
Relativistic accretion process onto rotating black holes in Einstein-Euler-Heisenberg nonlinear electrodynamic gravity
本研究探讨了在Einstein-Euler-Heisenberg非线性电磁动力学框架下，旋转黑洞吸积过程的动力学特性，发现电荷参数和自旋参数对强引力场和特征频率有显著影响，并通过QPO观测验证了非线性电磁动力学对吸积流的潜在影响。
Light Deflection and Greybody Bound Around a BTZ-ModMax Black Hole in Plasma Medium
研究等离子体介质中BTZ-ModMax黑洞周围光的偏折，探讨ModMax非线性电磁动力学参数和宇宙学常数的影响，分析等离子体色散对引力透镜行为的影响，并比较等离子体中ModMax参数与真空及带电静态BTZ黑洞的情况，揭示非线性电磁动力学的特征。
Relativistic Einstein Rings of Reissner-Nordström metric Black Holes Nonminimally Coupled to Electrodynamics
本文研究了 Reissner-Nordström 背景下引力与电磁学非最小耦合时的相对论性爱因斯坦环，发现在 eikonal 近似下存在不稳定有效光子球，并揭示了第一、二个环的角位置及间距随电荷参数变化的规律，同时指出近极端构型存在区分重叠区域。
Magnetars are surrounded by diffuse plasma in magnetic field strengths well above the quantum electrodynamic critical value. We derive equations of "quantum force-free electrodynamics" for this plasma using effective field theory arguments. We argue that quantum effects do not modify the large scale structure of the magnetosphere, and in particular that the spin-down rate does not deviate significantly from the classical result. We provide definite evolution equations that can be used to explore potentially important small-scale corrections, such as shock formation, which has been proposed as …
In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the Gauss-Bonnet theorem for finding deflection angle in weak field limits. The effect of non-linear electrodynamics on the deflection angle in leading order terms is studied. Furthermore, we discuss the effects of the plasma medium on the weak deflection angle.
We analyze the equations of relativistic magnetized plasma dynamics in the limiting case that electromagnetic stress-energy is dominant over pressure and rest mass energy density. The naive formulation of these equations is shown to be not hyperbolic. Modifying the equations by terms that vanish for all physical solutions, we obtain a symmetric hyperbolic evolution system, which should exhibit improved numerical behavior.
General relativistic force-free electrodynamics with a discontinuous Galerkin-finite difference hybrid method
本文提出一种间断 Galerkin 与守恒有限差分结合的混合数值方法，用于高精度模拟广义相对论无力等离子体及电流片耗散，并在黑洞、中子星磁层中实现最高10倍加速。
We investigate the influence of plasma presence on relativistic images formed by Schwarzschild black hole lensing. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due to refraction properties, and the dispersion properties of the light propagation in gravitational field in plasma. The last effect leads to difference, even in uniform plasma, of gravitational deflection angle in plasma from vacuum case. This angle depends on the photon frequency, what resembles the properties of the refractive prism spectrometer. Here we con…
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