Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces

Abstract

Space-times exhibiting spontaneous Lorentz symmetry-breaking have recently attracted much attention, with Kalb-Ramond (KR) gravity providing a notable example. In this context, we examine the free-fall motion of a test particle toward an electrically charged black hole arising from the coupling of the KR field with the Maxwell one in General Relativity. We investigate how the Lorentz symmetry-breaking parameter affects the free-fall velocity of the particle as it approaches black hole inner regions. Additionally, we analyze the influence of this parameter on the emission and detection of signals by observers in different frames. We furthermore explore modifications to the radial and angular components of tidal forces in this space-time and compare the results with those obtained for the Reissner-Nordström black hole. Finally, we analytically solve the geodesic deviation equation under two different conditions, identifying a subtle effect of the Lorentz symmetry breaking parameter in the charged KR metric, and compare it with two other space-time metrics with spontaneous symmetry breaking. These findings provide useful insights into how models of spontaneous Lorentz symmetry-breaking influence gravitational dynamics in the space-times of charged black holes.

21 figures, revtex 4-2 style; v_2: minor corrections to text and plots; accepted for publication on Phys. Rev. D

References in corpus (32)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Quantum Gravity at a Lifshitz Point
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. II. EHT and Multi-wavelength Observations, Data Processing, and Calibration
• First Sagittarius A* Event Horizon Telescope Results. IV. Variability, Morphology, and Black Hole Mass
• The 1965 Penrose singularity theorem
• Static and spherically symmetric black holes in gravity with a background Kalb-Ramond field
• First M87 Event Horizon Telescope Results. IX. Detection of Near-horizon Circular Polarization
• Interior of a Schwarzschild black hole revisited
• Electrically charged black holes in gravity with a background Kalb-Ramond field
• Vacuum solution within a metric-affine bumblebee gravity
• Shock waves in tidally compressed stars by massive black holes
• Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
• Spontaneous Lorentz symmetry-breaking constraints in Kalb-Ramond gravity
• Tidal forces in dirty black hole spacetimes
• Tidal effects in 4D Einstein-Gauss-Bonnet Black Hole Spacetime
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• The Doppler shift in a Schwarzschild spacetime
• Redshift of a photon emitted along the black hole horizon
• Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models
• Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
• Tidal Stretching and Compression in Black Bounce Backgrounds

Cited by in corpus (3)

• Tidal forces around the Letelier-Alencar cloud of strings black hole
• Detecting Lorentz-violation induced by a tensor field with S-star's motion around Sgr A*
• Light propagation and gravitational lensing effects in charged Kalb-Ramond spacetime in nonlinear electrodynamics