Classical and general relativistic post-Keplerian effects in binary pulsars hosting fast rotating main sequence stars
We consider a binary system composed of a pulsar and a massive, fast rotating, highly distorted main sequence star of mass M , spin angular momentum S , dimensionless mass quadrupole moment J 2 , equatorial and polar radii R e , R p , flattening ν ≐ ( R e - R p ) / R e , and ellipticity ε ≐ 1 - R p...
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| Vydáno v: | The European physical journal. C, Particles and fields Ročník 79; číslo 8; s. 1 - 12 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.08.2019
Springer Springer Nature B.V Springer Verlag (Germany) SpringerOpen |
| Témata: | |
| ISSN: | 1434-6044, 1434-6052 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We consider a binary system composed of a pulsar and a massive, fast rotating, highly distorted main sequence star of mass
M
, spin angular momentum
S
, dimensionless mass quadrupole moment
J
2
, equatorial and polar radii
R
e
,
R
p
, flattening
ν
≐
(
R
e
-
R
p
)
/
R
e
, and ellipticity
ε
≐
1
-
R
p
2
/
R
e
2
as a potential scenario to dynamically put to the test certain post-Keplerian effects of both Newtonian and post-Newtonian nature. We numerically produce time series of the perturbations
Δ
δ
τ
of the Rømer-like, orbital component of the pulsar’s time delay
δ
τ
induced over 10 years by the pN gravitoelectric mass monopole
Schwarzschild
,
G
M
c
-
2
, quadrupole
G
M
R
e
2
J
2
c
-
2
, gravitomagnetic spin dipole
Lense
-
Thirring
,
G
S
c
-
2
and octupole
G
S
R
e
2
ε
2
c
-
2
accelerations along with the Newtonian quadrupolar
G
M
R
e
2
J
2
one. We do not deal with the various propagation time delays due to the travelling electromagnetic waves. It turns out that, for a Be-type star with
M
=
15
M
⊙
,
R
e
=
5.96
R
⊙
,
ν
=
0.203
,
S
=
3.41
×
10
45
J
s
,
J
2
=
1.92
×
10
-
3
orbited by a pulsar with an orbital period
P
b
≃
40–70 days, the classical oblateness-driven effects are at the
≲
4
-
150
s
level, while the pN shifts are of the order of
≲
1.5
-
20
s
G
M
c
-
2
,
≲
10
-
40
ms
G
M
R
e
2
J
2
c
-
2
,
≲
0.5
-
6
ms
G
S
c
-
2
,
≲
5
-
20
μ
s
G
S
R
e
2
ε
2
c
-
2
, depending on their orbital configuration. The root-mean-square (rms) timing residuals
σ
τ
of almost all the existing non-recycled, non-millisecond pulsars orbiting massive, fast rotating main sequence stars are
≲
ms
. Thus, such kind of binaries have the potential to become interesting laboratories to measure, or, at least, constrain, some Newtonian and post-Newtonian (
G
M
c
-
2
,
G
M
J
2
c
-
2
, and, perhaps,
G
S
c
-
2
as well) key features of the distorted gravitational fields of the fast rotating stars hosted by them. |
|---|---|
| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1434-6044 1434-6052 |
| DOI: | 10.1140/epjc/s10052-019-7194-5 |