Quantum Corrections to the Two-dimensional Gravity with External Field
M.Alves
TL;DR
This paper investigates quantum corrections in two-dimensional gravity with an external field, revealing black hole solutions without matter or cosmological constant, similar to dilaton gravity models.
Contribution
It introduces an external field approach to compute quantum corrections in 2d gravity and discovers black hole solutions in this framework.
Findings
Existence of black hole solutions without matter or cosmological constant
Quantum corrections derived via trace anomaly
Solutions resemble those in dilaton 2d gravity
Abstract
We introduce an external field to calculate the quantum corrections of the 2d gravity, via trace anomaly. We show that there are black hole type solution even in the absence of matter field and cosmological constant. We also see that these solutions are similar to the ones obtained from dilaton two-dimensional gravity.
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