Einstein-Grisaru-Zanon gravity

Abstract

The leading $({\alpha }^{\prime }{)}^3$-correction to the gravitational low-energy effective action of closed (type II) superstring theory in four-spacetime dimensions defines the Einstein-Grisaru-Zanon gravity action that is applied for a calculation of the leading corrections to the Schwarzschild solution and the Hubble function in the Friedmann-Lemaitre-Robertson-Walker universe, in the first order with respect to the effective string-generated coupling. The solutions found are compared to the corresponding solutions in the Einstein-Bel-Robinson gravity that also modifies the Einstein gravity by the terms quartic in the spacetime curvature. We consider the black hole shadows in the Einstein-Grisaru-Zanon gravity theory and derive the upper bound on the string coupling parameter from the Hawking temperature of a black hole.

10 pages, no figures, LaTeX; references added

References in corpus (6)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• f(R) theories
• Calculating black hole shadows: Review of analytical studies
• One loop in eleven dimensions
• xTras: a field-theory inspired xAct package for Mathematica
• On the superstrings-induced four-dimensional gravity, and its applications to cosmology

Cited by in corpus (4)

• Geometric and topological corrections to Schwarzschild black hole
• Starobinsky inflation beyond the leading order
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity
• Generalized Chern-Pontryagin models