Black hole movement
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Black Hole Movement: Insights from Recent Research
Axisymmetric Non-Rotating Black Holes
The motion of axisymmetric non-rotating black holes has been explored using Weyl solutions. It has been demonstrated that there are no solutions representing more than one black hole or black holes alongside ordinary massive bodies, except in the unique case where a massive body surrounds or partially surrounds a black hole. A new exact solution has been found where a black hole is chased by a negative mass particle, both being uniformly accelerated. Additionally, solutions representing a single black hole tidally distorted by an external static, axisymmetric gravitational field have been obtained1.
Schwarzschild Black Holes and Newtonian Motion
From the perspective of a distant observer, the gravitational field of a moving Schwarzschild black hole is equivalent to that produced by an extended, non-rotating, spherical body of the same mass. This implies that a black hole follows Newtonian equations of motion, although certain quantities, such as distance, lose their Newtonian meaning2.
Magnetized Black Hole Horizons and Carrollian Motion
The motion of massless particles with anyonic spin within the horizon of Kerr-Newman black holes has been revisited. These particles can move within the black hole's horizon due to the coupling of charges associated with a 2-parametric central extension of the 2-dimensional Carroll group to the magnetic field generated by the black hole. This phenomenon, known as the "anyonic spin-Hall effect," occurs even in the absence of black hole rotation and can be induced by a surrounding plasma's magnetic field3.
Particle Motions Around Regular Black Holes
Research into the bound orbits of particles around regular black holes has shown the existence of stable and unstable circular orbits for massive particles, with the radius of the innermost stable circular orbit being charge-dependent. Remarkably, unstable circular orbits for photons inside the event horizon have also been identified. For massless particles and photons, both stable and unstable circular orbits can exist in a regular, horizonless spacetime with slight overcharge. Additionally, the periapsis shift of massive neutral particles orbiting the black hole is negatively corrected by the charge for black holes with small nonlinearity of electrodynamics4.
Acceleration of Particles by Black Holes
A general explanation for the unbound acceleration of particles by black holes has been provided. This effect is related to the scalar product of a timelike vector of the four-velocity of an ingoing particle and the lightlike horizon generator tending to zero in special cases. This condition marginally satisfies the "motion forward in time" requirement, allowing an ingoing particle with specific parameters to mimic the infinite redshift property typical of outgoing particles near the black hole's future horizon5.
Non-Local Quantum Hydrodynamics and Matter Movement
The theory of matter movement in black holes within the framework of non-local quantum hydrodynamics (NLQHD) has been explored. This theory applies when matter density approaches infinity, rendering General Relativity inapplicable. NLQHD equations for black holes have solutions limited by the event horizon, where gravity tends to infinity. Internal perturbations in black holes lead to gravitational wave packets, with the width of these packets inversely proportional to internal energy. Increased internal energy transforms antigravity modes into attraction regimes, indicating a strong mutual influence of gravitational, antigravitational, and electromagnetic fields6 7.
Twisting of Light Around Rotating Black Holes
Kerr black holes, which are rotating massive astrophysical objects, drag and intermix their surrounding space and time, affecting light emitted near them. This interaction leads to a new relativistic effect that imparts orbital angular momentum on the light. Numerical experiments have identified phase changes and wavefront warping, predicting the associated light-beam orbital angular momentum spectra. Properly setting up telescopes could allow the detection and measurement of this twisted light, providing direct observational evidence of rotating black holes8.
Conclusion
The movement of black holes, whether influenced by external fields, internal dynamics, or interactions with particles and light, reveals complex behaviors that challenge our understanding of classical and quantum physics. From axisymmetric non-rotating black holes to the intriguing effects of rotating Kerr black holes, ongoing research continues to uncover the multifaceted nature of these enigmatic cosmic entities.
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