TY - JOUR

T1 - Black-hole spectroscopy

T2 - Testing general relativity through gravitational-wave observations

AU - Dreyer, Olaf

AU - Kelly, Bernard

AU - Krishnan, Badri

AU - Finn, Lee Samuel

AU - Garrison, David

AU - Lopez-Aleman, Ramon

PY - 2004/2/21

Y1 - 2004/2/21

N2 - Assuming that general relativity is the correct theory of gravity in the strongfield limit, can gravitational-wave observations distinguish between black holes and other compact object sources? Alternatively, can gravitationalwave observations provide a test of one of the fundamental predictions of general relativity: the no-hair theorem? Here we describe a definitive test of the hypothesis that observations of damped, sinusoidal gravitational waves originate from a black hole or, alternatively, that nature respects the general relativistic no-hair theorem. For astrophysical black holes, which have a negligible charge-to-mass ratio, the black-hole quasi-normal mode spectrum is characterized entirely by the black-hole mass and angular momentum and is unique to black holes. In a different theory of gravity, or if the observed radiation arises from a different source (e.g., a neutron star, strange matter or boson star), the spectrum will be inconsistent with that predicted for general relativistic black holes. We give a statistical characterization of the consistency between the noisy observation and the theoretical predictions of general relativity and a demonstration, through simulation, of the effectiveness of the test for strong sources.

AB - Assuming that general relativity is the correct theory of gravity in the strongfield limit, can gravitational-wave observations distinguish between black holes and other compact object sources? Alternatively, can gravitationalwave observations provide a test of one of the fundamental predictions of general relativity: the no-hair theorem? Here we describe a definitive test of the hypothesis that observations of damped, sinusoidal gravitational waves originate from a black hole or, alternatively, that nature respects the general relativistic no-hair theorem. For astrophysical black holes, which have a negligible charge-to-mass ratio, the black-hole quasi-normal mode spectrum is characterized entirely by the black-hole mass and angular momentum and is unique to black holes. In a different theory of gravity, or if the observed radiation arises from a different source (e.g., a neutron star, strange matter or boson star), the spectrum will be inconsistent with that predicted for general relativistic black holes. We give a statistical characterization of the consistency between the noisy observation and the theoretical predictions of general relativity and a demonstration, through simulation, of the effectiveness of the test for strong sources.

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U2 - 10.1088/0264-9381/21/4/003

DO - 10.1088/0264-9381/21/4/003

M3 - Article

AN - SCOPUS:1342284092

SN - 0264-9381

VL - 21

SP - 787

EP - 803

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 4

ER -