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TESTING GR WITH PULSARS III NEW TESTS + THE FUTURE
Vicky Kaspi, McGill University Harvard/Smithsonian GR Conference May 2012
Outline
Eclipses in double pulsar and relativistic spin precession
New pulsar surveys
New exciting relativistic binary
The Double Pulsar at a Glance
Pulsar A: 23 ms (Burgay et al. 2003, Nature)
Pulsar B: 2.8 s (Lyne et al. 2004, Science)
2.4 hour orbital period
System viewed edge-on:
We see eclipse for 30 s each 2.4 hour orbit
Lyne et al. 2004, Kaspi et al. 2004
Pulsar A Eclipse
Pulsar A eclipsed for ~30s each orbit
Eclipse duration >> projected size of B’s surface
eclipse frequency independent, asymmetric GBT
B Modulates A in Eclipse!
McLaughlin et al. 2004
Phase of B shown with dashed lines
Average eclipse, summed coherently with B phase
Modulation at B’s Period During A’s Eclipse
Dynamic FFT of light curve of A
Shows modulation at B’s period (or at a harmonic)
Only occurs during eclipse
Breton et al. 2012
Eclipse behavior nearly radio-frequency independent
Main frequency effects at edges of eclipses
Breton et al. 2012
Periodicity within eclipses radio-frequency independent across 300-2000 MHz
Breton et al. 2012
Eclipse duration depends on phase of pulsar B
Breton et al. 2012
Breton et al. 2012
Eclipse Model
The Lyutikov & Thompson Model (2006): • Closed field lines within pulsar B magnetosphere are
populated with hot relativistic plasma Results in synchrotron absorption of pulsar A radio
emission Magnetic field configuration is a dipole truncated
outside some radius.
Constructing a model eclipse light curve requires evaluating the synchrotron opacity
along different lines of sight through the magnetosphere
Geometry for Double Pulsar
Lyutikov & Thompson 2005
Pulsar A Eclipse Modelling
Breton et al. 2008
A eclipse modulation offers new way to measure geometry precisely – can look for relativistic precession of B’s spin!
Precession of the spin angular momentum of a body is expected in relativistic systems.
The precession of pulsar B is predicted to be due to: 1. the orbital motion of pulsar B in a curved space-time
(geodetic precession aka de Sitter/Fokker precession),
2. the “frame-dragging” due to the translational orbital motion of pulsar A around the center of mass (Lense-Thirring precession).
In general theories of gravity, SO precession rate is (Damour & Taylor 1992):
Rewriting with observable timing parameters:
Yields a test of the strong-field parameters
Collected 63 eclipses over 4 years at Green Bank Telescope in collaboration with timing team
McGill PhD thesis of Rene Breton
Evolution of B’s Spin Axis
For each of 63 eclipses LT model was fit using Markov Chain Monte Carlo
3 free parameters:
Show Movie
, ,
Breton et al. 2008, Science
Relativistic Spin Precession Detected
Results
0 Bt
B yr
4 77 0 65
0 66. deg/.
.
B yr 50734 00007. . deg/
GR PREDICTION Breton et al. 2008
Compare with GPB: 0.0018 deg/yr
( ) . .c
G
m
m
B
GR
A
B
2
23
2360677 000035
( ) . .
.c
G
B
obs
2
0 46
0 49338
( )
( )
. .
c
G
c
G
B
obs
B
GR
2
2 0 94 013
Results, Differently
Any successful theory of gravity in
this framework must predict
this value.
Continued Monitoring?
In principle, longer baseline = better measurement
BUT systematics: B’s profile changing;
challenging to measure pulse phase
B has disappeared!! Perera et al. 2012
On-Going Radio Pulsar Surveys
Also all-sky HTRU Survey using Parkes, Effelsberg
GBT
Arecibo
GBNCC 350 MHz Survey
20 pulsars so far, including 3 MSPs
Interesting GBT Driftscan Binary Pulsar J0348+0432
Based on observational work by Ryan Lynch, Paulo Freire, John Antoniadis; theory by Norbert Wex
Work in preparation…all info preliminary
P=39 ms, Porb=2.4 hr
Highly relativistic!
WD companion, mass well determined from spectrum, models: 0.172+/-0.002 sm
WD absorption lines show orbital Doppler shifts
Preliminary!!!
White Dwarf Radial Velocities
Courtesy John Antoniadis
q=11.85+/-0.10
Preliminary!!!
J0348: Massive & Relativistic
Combination of q, Mc yields Mp=2.039 +/- 0.029 solar masses
Relevant to EOS; Demorest et al. 2010
J0348: first massive NS in relativistic orbit!
Also highly asymmetric binary, q=11.85
Can test GR in new regime!
Courtesy John Antoniadis
Preliminary!!!
Testing Dipolar Radiation Damping: tensor-scalar theories
Radio timing of pulsar at GBT, Arecibo determines relativistic parameter Pbdot = (0.035+/-0.05)x10^-12 (PRELIMINARY)
PSR J0348+0432:
Note that this is better constraint than expected from GW experiments (Damour & Esposito-Farese 1998)
A B
Preliminary!!!
Couresy N. Wex
J0348 and aLIGO/Virgo
To detect merging NS-binaries, need template as aLIGO/Virgo data noisy
More realistic template = greater sensitivity
Major effort to calculate post-Newtonian (PN) approximation to GR
But alternative tensor-scalar (TS) theories could pose problem with this strategy
GR
TS
Courtesy Norbert Wex
Number of cycles in the aLIGO/VIRGO band (10 – 1000 Hz)
GR TS GR - TS
0348 today
Merger of a 2 M NS and a 10 M
BH (fISCO = 366 Hz)
Figure courtesy Norbert Wex
PRELIMINARY
J0348:Good News for GWs
Binary pulsars are very useful for testing TS gravity
Was true for low-mass NSs (Damour & Esposito-Farese 1998)
Now true for high-mass NSs from J0348 (work in prep.)
Good news for calculating templates:
Limit from J0348 suggests assuming GR should work for massive NSs as well
Conclusions
Double pulsar system spectacular eclipses provide unique test of gravity theories…
But pulsar B is gone
Ongoing pulsar surveys are finding other interesting sources: E.g. PSR J0348+0432 – first massive NS in
relativistic binary
Sets strict limits on dipolar gravitational wave damping
Stay tuned for more!