1. Gravitational Wave Physics with Binary Love Relations
Kent Yagi
Princeton University
GR21
Columbia U., July 13th 2016
Yagi & Yunes, CQG 33 13LT01 (2016)

2. Probing Fundamental Physics with NS/NS GWs
nuclear physics
gravitational physics
cosmology
tidal effect
LIGO Caltech
Binary Love Relations
Kent Yagi

3. Gravitational-Wave Nuclear Astrophysics
Stiff
Love number
Soft
Independent measurement of the Love number and mass with GWs constrains the EoS!
Simulations by Kenta Hotokezaka
Binary Love Relations
Kent Yagi

4. Gravitational-Wave Tests of General Relativity
EoS-insensitive I-Love universal relation
[KY & Yunes, Science, PRD (2013)]
Binary Love Relations
Kent Yagi

5. Gravitational-Wave Tests of General Relativity
EoS-insensitive I-Love universal relation
double binary pulsar
[KY & Yunes, Science, PRD (2014)]
Binary Love Relations
Kent Yagi

6. Gravitational-Wave Tests of General Relativity
EoS-insensitive I-Love universal relation
double binary pulsar
[KY & Yunes, Science, PRD (2014)]
NS/NS GWs
Binary Love Relations
Kent Yagi

7. Gravitational-Wave Tests of General Relativity
EoS-insensitive I-Love universal relation
double binary pulsar
[KY & Yunes, Science, PRD (2014)]
NS/NS GWs
Binary Love Relations
Kent Yagi

8. Gravitational-Wave Tests of General Relativity
EoS-insensitive I-Love universal relation
double binary pulsar
6 orders of magnitude stronger than current bounds
[KY & Yunes, Science, PRD (2014)]
NS/NS GWs
Binary Love Relations
Kent Yagi

9. Gravitational-Wave Cosmology
type Ia SNe
standard candles
NS/NSs
standard sirens
GW amplitude
[Sami (2014)]
Correct EoS known
Break the degeneracy between mass and z
[Messenger & Read (2012)]
Binary Love Relations
Kent Yagi

10. Problems… Universal relations among tidal parameters!
(I) Difficult to measure Love numbers of individual bodies due to degeneracies between them.
One can only measure a certain combination
(II) Knowing EoS completely maybe too optimistic when performing GW cosmology.
Universal relations among tidal parameters!
Binary Love Relations
Kent Yagi

11. Binary Love Relations (I) symmetric/anti-symmetric
Kent Yagi

12. Binary Love Relations (I) symmetric/anti-symmetric
(II) Taylor expansion
fiducial mass
[Messenger & Read (2012)]
Universal to
Binary Love Relations
Kent Yagi

13. Impact of Binary Love Relation
Adv. LIGO, SNR=30
APR,
Binary Love Relations
Kent Yagi

14. Impact of Binary Love Relation
Adv. LIGO, SNR=30
APR,
Binary Love Relations
Kent Yagi

15. Impact of Binary Love Relation
Adv. LIGO, SNR=30
APR,
Binary Love Relations
Kent Yagi

16. Impact of Binary Love Relation
Adv. LIGO, SNR=30
APR,
50% improvement!
Individual Love number measurement!
Improvement on probing Nuclear Physics
Binary Love Relations
Kent Yagi

17. Application to Gravitational Physics
Adv. LIGO, SNR=30
Shen EoS
obtained from
Binary Love Relations
Kent Yagi

18. Application to Gravitational Physics
Adv. LIGO, SNR=30
Shen EoS
using the
relation
slight improvement on testing strong-field gravity
obtained from
Binary Love Relations
Kent Yagi

19. Application to Cosmology
(i) True EoS is known completely
[Messenger & Read (2012)]
maybe too optimistic
(ii) Only is known from e.g. Adv. LIGO
from the
relation
Einstein Telescope
Binary Love Relations
Kent Yagi

20. Application to Cosmology
(i) True EoS is known completely
[Messenger & Read (2012)]
maybe too optimistic
(ii) Only is known from e.g. Adv. LIGO
from the
relation
Einstein Telescope
difference ~10% at most
Still possible to perform GW cosmology even if only is known.
Binary Love Relations
Kent Yagi

21. Takeaway THANK YOU!! Nuclear Physics Binary Love relations
Universal relations are useful for probing fundamental physics!!
Gravitational Physics
Cosmology
THANK YOU!!
Binary Love Relations
Kent Yagi