Boulware state in exactly solvable models of 2D dilaton gravity

Abstract

We discuss self-consistent geometries and behavior of dilaton in exactly solvable models of 2D dilaton gravity, with quantum fields in the Boulware state. If the coupling $H(\varphi )$ between curvature and dilaton $\varphi$ is non-monotonic, backreaction can remove the classical singularity. As a result, an everywhere regular star-like configuration may appear, in which case the Boulware state, contrary to expectations, smooths out the system. For monotonic $H(\varphi )$ exact solutions confirm the features found before with the help of numerical methods: the appearance of the bouncing point and the presence of isotropic singularity at the classically forbidden branch of the dilaton.

10 pages. 1 ref. added. To appear in Mod. Phys. Lett. A

References in corpus (2)

• Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography
• Static quantum corrections to the Schwarzschild spacetime

Cited by in corpus (3)

• Quantum states and their back-reacted geometries in 2d dilaton gravity
• Hybrid quantum states in 2d dilaton gravity
• Singularity resolution in spherically reduced 2D semiclassical gravity with negative central charge