Towers of gravitational theories |
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Authors: | Walter D Goldberger Ira Z Rothstein |
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Institution: | (1) Department of Physics, Yale University, New Haven, CT 06520, USA;(2) Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA |
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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. |
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