Planar Black Holes and Entanglement Entropy in Analog Gravity Models.

Area of Science:

• Gravitational Physics
• Black Hole Thermodynamics
• Quantum Gravity

Background:

• Planar black holes are crucial for understanding quantum gravity.
• Existing methods for analog black hole metrics are limited.
• Painlevé-Gullstrand spacetime is a useful framework for black hole studies.

Purpose of the Study:

• To construct analog metrics for planar black holes.
• To introduce holographic entanglement entropy for planar black hole spacetimes.
• To generalize the concept of analog black hole metrics.

Main Methods:

• Constructing an explicit Lagrangian for perturbation equations.
• Analogizing perturbation equations to scalar field propagation in black hole spacetimes.
• Applying the Painlevé-Gullstrand line element.

Main Results:

• All planar black holes conformal to a Painlevé-Gullstrand-type line element can be realized as analog metrics.
• A novel concept of holographic entanglement entropy for planar black hole spacetimes is introduced.
• The method is valid for arbitrary conformal and blackening factors, significantly increasing known analog metric examples.

Conclusions:

• The developed method provides a powerful tool for studying analog black hole metrics.
• The introduction of holographic entanglement entropy offers new insights into black hole information paradox.
• This work vastly extends the class of known explicitly calculable analog black hole spacetimes.