Year: 2022
Type: article
Abstract: We present the ghost-free infinite-derivative extensions of the spherically reduced gravity (SRG) and Callan-Giddings-Harvey-Strominger (CGHS) theories in two space-time dimensions. For the case of SRG, we specify the Schwarzschild-type gauge and diagonalize the quadratic action for field perturbations after taking the background fields to be those of the flat-space solution with a linear dilaton. Using the obtained diagonalization, we construct ghost-free infinite-derivative modifications of the SRG theory. In the context of this modified SRG theory we derive a nonlocal modification of the linearized spherically reduced Schwarzschild solution. For the case of CGHS gravity, we work in the conformal gauge and diagonalize the quadratic action associated with this theory for a general background solution. Using these results, we construct the ghost-free infinite-derivative modifications of the CGHS theory and examine nonlocal modifications to the linearized CGHS black-hole solution.
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4283029769
