Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2022)150
Keywords
Classical Theories of Gravity; Space-Time Symmetries
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Funding
- Royal Society University Research Fellowship
- Royal Society Enhancement Award
- ERC Advanced Grant High-Spin-Grav
- ERC Starting Grant Holography for realistic black holes
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This paper demonstrates that charges associated with the internal Lorentz symmetries of general relativity, with higher derivative boundary terms included in the action, can capture observable gravitational wave effects. In particular, the Gauss-Bonnet charge measures the precession rate of a freely-falling gyroscope, while the Pontryagin charge encodes the relative radial acceleration of freely-falling test masses.
We show that charges associated with the internal Lorentz symmetries of general relativity, with higher derivative boundary terms included in the action, capture observable gravitational wave effects. In particular, the Gauss-Bonnet charge measures the precession rate of a freely-falling gyroscope, while the Pontryagin charge encodes the relative radial acceleration of freely-falling test masses. This relation highlights the importance of the tetrad formalism and the physical significance of asymptotic internal Lorentz symmetries.
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