Towers of Gravitational Theories

Abstract

In this essay we introduce a theoretical framework designed to describe black hole dynamics. The difficulties in understanding such dynamics stems from the proliferation of scales involved when one attempts to simultaneously describe all of the relevant dynamical degrees of freedom. These range from the modes that describe the black hole horizon, which are responsible for dissipative effects, to the long wavelength gravitational radiation that drains mechanical energy from macroscopic black hole bound states. We approach the problem from a Wilsonian point of view, by building a tower of theories of gravity each of which is valid at different scales. The methodology leads to multiple new results in diverse topics including phase transitions of Kaluza-Klein black holes and the interactions of spinning black hole in non-relativistic orbits. Moreover, our methods tie together speculative ideas regarding dualities for black hole horizons to real physical measurements in gravitational wave detectors.

arXiv commentAwarded second prize for 2006 Gravity Research Foundation essay contest

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• Renormalization Group Flows for Brane Couplings
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• Non-conservative effects on Spinning Black Holes from World-Line Effective Field Theory
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
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• Gravitational Wave Signals from Finite Size Effects in Spinning Binary Inspirals Including Parity Violating Constituents
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework