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arXiv · 2206.07111

Ghost-free infinite-derivative dilaton gravity in two dimensions

Ulrich K. Beckering Vinckers·Álvaro de la Cruz-Dombriz·Ivan Kolář·Francisco J. Maldonado Torralba·Anupam Mazumdar
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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 diagonalise 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 diagonalisation, we construct ghost-free infinite-derivative modifications of the SRG theory. In the context of this modified SRG theory we derive a non-local modification of the linearised spherically-reduced Schwarzschild solution. For the case of CGHS gravity, we work in the conformal gauge and diagonalise 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 non-local modifications to the linearised CGHS black-hole solution.

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Ulrich K. Beckering Vinckers, Álvaro de la Cruz-Dombriz, Ivan Kolář, Francisco J. Maldonado Torralba, Anupam Mazumdar. 2022-09-22. Ghost-free infinite-derivative dilaton gravity in two dimensions. https://doi.org/10.1103/physrevd.106.064037

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