Traversable wormholes with multiple unstable critical curves

Abstract

The number and position of unstable critical curves, as well as the nature of the accretion disk around compact objects, play a fundamental role in their optical appearance. Identifying differences in the optical spectrum of various observed compact objects can help classify them as black holes or black hole mimickers, such as traversable wormholes. Although multiple unstable critical curves have been reported to appear in asymmetric traversable wormholes, in this work we construct symmetric traversable wormholes with multiple unstable critical curves. We propose a general rational redshift function that allows us to trace the number of critical points of the effective potential and determine their nature as maxima or minima. The ray tracing method is used to study the trajectories of massless particles, particularly their behavior near the unstable critical points. Finally, a thin accretion disk model is implemented to analyze the optical appearance of the solution.

References in corpus (24)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• 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
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Traversable wormholes with arbitrarily small energy condition violations
• Phantom energy traversable wormholes
• Warp drive basics
• Traversable wormholes in Einstein-Dirac-Maxwell theory
• Traversable Wormholes in General Relativity
• Humanly traversable wormholes
• Astrophysical Wormholes
• Reflection-asymmetric wormholes and their double shadows
• Thin-shell traversable wormhole crafted from a regular black hole with asymptotically Minkowski core
• Double shadows of reflection-asymmetric wormholes supported by positive energy thin-shells
• Einstein-Dirac-Maxwell wormholes: ansatz, construction and properties of symmetric solutions
• Ellis Wormholes in Anti-De Sitter Space

Cited by in corpus (1)

• Stable soliton dark matter wormhole in non-minimally coupled $f(\mathcal{Q},\mathcal{T})$ gravity