# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### Model systematics in time domain tests of binary black hole evolution

##### MPS-Authors

##### External Resource

No external resources are shared

##### Fulltext (restricted access)

There are currently no full texts shared for your IP range.

##### Fulltext (public)

2111.13664.pdf

(Preprint), 2MB

PhysRevD.105.064042.pdf

(Publisher version), 2MB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Kastha, S., Capano, C., Westerweck, J., Cabero, M., Krishnan, B., & Nielsen, A. B. (2022).
Model systematics in time domain tests of binary black hole evolution.* Physical Review D,*
*105*(6): 064042. doi:10.1103/PhysRevD.105.064042.

Cite as: https://hdl.handle.net/21.11116/0000-0009-FB2A-E

##### Abstract

We perform several consistency tests between different phases of binary black

hole dynamics; the inspiral, the merger, and the ringdown on the gravitational

wave events GW150914 and GW170814. These tests are performed explicitly in the

time domain, without any spectral leakage between the different phases. We

compute posterior distributions on the mass and spin of the initial black holes

and the final black hole. We also compute the initial areas of the two

individual black holes and the final area from the parameters describing the

remnant black hole. This facilitates a test of Hawking's black hole area

theorem. We use different waveform models to quantify systematic waveform

uncertainties for the area increase law with the two events. We find that these

errors may lead to overstating the confidence with which the area theorem is

confirmed. For example, we find $>99\%$ agreement with the area theorem for

GW150914 if a damped sinusoid consisting of a single-mode is used at merger to

estimate the final area. This is because this model overestimates the final

mass. Including an overtone of the dominant mode decreases the confidence to

$\sim94\%$; using a full merger-ringdown model further decreases the confidence

to $\sim 85-90\%$. We find that comparing the measured change in the area to

the expected change in area yields a more robust test, as it also captures over

estimates in the change of area. We find good agreement with GR when applying

this test to GW150914 and GW170814.

hole dynamics; the inspiral, the merger, and the ringdown on the gravitational

wave events GW150914 and GW170814. These tests are performed explicitly in the

time domain, without any spectral leakage between the different phases. We

compute posterior distributions on the mass and spin of the initial black holes

and the final black hole. We also compute the initial areas of the two

individual black holes and the final area from the parameters describing the

remnant black hole. This facilitates a test of Hawking's black hole area

theorem. We use different waveform models to quantify systematic waveform

uncertainties for the area increase law with the two events. We find that these

errors may lead to overstating the confidence with which the area theorem is

confirmed. For example, we find $>99\%$ agreement with the area theorem for

GW150914 if a damped sinusoid consisting of a single-mode is used at merger to

estimate the final area. This is because this model overestimates the final

mass. Including an overtone of the dominant mode decreases the confidence to

$\sim94\%$; using a full merger-ringdown model further decreases the confidence

to $\sim 85-90\%$. We find that comparing the measured change in the area to

the expected change in area yields a more robust test, as it also captures over

estimates in the change of area. We find good agreement with GR when applying

this test to GW150914 and GW170814.