MG12 - Talk detail |
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Participant |
Poisson, Eric | |
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Institution |
University of Guelph - Department of Physics - Guelph - Ontario - Canada | |
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Session |
Talk |
Abstract |
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ANM7 |
Relativistic theory of tidal Love numbers |
In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's internal structure. In this talk we present a relativistic theory of Love numbers, which applies to compact bodies with strong internal gravity; the theory extends and completes the previous work of Flanagan and Hinderer (2007) and Hinderer (2008). We consider a spherical body deformed by an external tidal field, and we provide precise and meaningful definitions for electric-type and magnetic-type Love numbers; and we compute these numbers for polytropic equations of state. The theory applies to black holes as well, and we find that the relativistic Love numbers of a nonrotating black hole are all zero. |