Bootstrapped Newtonian quantum gravity

Abstract

We compute quantum corrections for the gravitational potential obtained by including a derivative self-coupling in its classical dynamics as a toy model for analysing quantum gravity in the strong field regime. In particular, we focus on quantum corrections to the classical solutions in the vacuum outside localised matter sources.

arXiv commentLaTeX, 13 pages, no figures

References in corpus (7)

• Heat kernel expansion: user's manual
• Matter and gravitons in the gravitational collapse
• Quantum corpuscular corrections to the Newtonian potential
• Quantum Gravitational Corrections to a Star Metric and the Black Hole Limit
• Counting Photons in Static Electric and Magnetic Fields
• Bootstrapping Newton Gravity
• Bootstrapped Newtonian stars and black holes

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• Binary mergers in bootstrapped Newtonian gravity: mass gap and black hole area law
• Approximating compact objects in bootstrapped Newtonian gravity: use of the canonical potential
• Newtonian approximation in (1 + 1) dimensions