Boson stars and their radial oscillations

We review the derivation of the pulsations equations for spherically symmetric boson stars and then make a thorough study of the radial oscillation frequencies for the fundamental and first excited modes. We do this for self-interacting boson stars and consider a range of values for the self-coupling constant. We also numerically evolve boson stars and Fourier transform the dynamic solutions. The Fourier transform gives an independent computation of the radial oscillation frequencies and allows us to verify our results obtained from the pulsation equations. We find excellent agreement between the two methods.

Note:

13 pages, 5 figures

boson: star
oscillation: frequency
symmetry: rotation

References(41)

Figures(5)

[1]

Klein-Gordon Geon

David J. Kaup
(
- Maryland U.
)

- Phys.Rev. 172 (1968) 1331-1342
•
DOI:
- 10.1103/PhysRev.172.1331

[2]

Systems of selfgravitating particles in general relativity and the concept of an equation of state

Remo Ruffini
(
- Princeton U. and
- Princeton, Inst. Advanced Study
)
,
Silvano Bonazzola
(
- Rome U.
)

- Phys.Rev. 187 (1969) 1767-1783
•
DOI:
- 10.1103/PhysRev.187.1767

[3]

Stability of Boson Stars

Marcelo Gleiser
(
- Fermilab
)

- Phys.Rev.D 38 (1988) 2376,
- Phys.Rev.D 39 (1989) 4, 1257 (erratum)
•
DOI:
- 10.1103/PhysRevD.38.2376

[3]

Stability of Boson Stars

Marcelo Gleiser
(
- Fermilab
)

- Phys.Rev.D 38 (1988) 2376,
- Phys.Rev.D 39 (1989) 4, 1257 (erratum)
•
DOI:
- 10.1103/PhysRevD.38.2376

[4]

Dynamical Instability of Bosonic Stellar Configurations

Philippe Jetzer
(
- Fermilab
)

- Nucl.Phys.B 316 (1989) 411-428
•
DOI:
- 10.1016/0550-3213(89)90038-2

[5]

Gravitational Stability of Scalar Matter

- Nucl.Phys.B 319 (1989) 733-746
•
DOI:
- 10.1016/0550-3213(89)90627-5

[6]

Stability of Mini - Boson Stars

T.D. Lee
(
- Columbia U.
)
,
Yang Pang
(
- Columbia U.
)

- Nucl.Phys.B 315 (1989) 477,
- In *Lee, T.D.: Selected papers, 1985-1996* 129-168
•
DOI:
- 10.1016/0550-3213(89)90365-9

[7]

Dynamical Evolution of Boson Stars. 1. Perturbing the Ground State

- Phys.Rev.D 42 (1990) 384-403
•
DOI:
- 10.1103/PhysRevD.42.384

[8]

Dynamical evolution of boson stars. 2. Excited states and selfinteracting fields

Jayashree Balakrishna
(
- Washington U., St. Louis
)
,
Edward Seidel
(
)
,
Wai-Mo Suen
(
- Washington U., St. Louis and
- Hong Kong, Chinese U.
)

- Phys.Rev.D 58 (1998) 104004
•
e-Print:
- gr-qc/9712064
•
DOI:
- 10.1103/PhysRevD.58.104004

[9]

Boson stars driven to the brink of black hole formation

Scott H. Hawley
(
- Texas U.
)
,
Matthew W. Choptuik
(
- Texas U. and
- British Columbia U.
)

- Phys.Rev.D 62 (2000) 104024
•
e-Print:
- gr-qc/0007039
•
DOI:
- 10.1103/PhysRevD.62.104024

[10]

Boson stars

Philippe Jetzer
(
- Zurich U.
)

- Phys.Rept. 220 (1992) 163-227
•
DOI:
- 10.1016/0370-1573(92)90123-H

[11]

General relativistic boson stars

- Class.Quant.Grav. 20 (2003) R301-R356
•
e-Print:
- 0801.0307
•
DOI:
- 10.1088/0264-9381/20/20/201

[12]

Dynamical boson stars

- Living Rev.Rel. 26 (2023) 1, 1,
- Living Rev.Rel. 15 (2012) 6 (reprint),
- Living Rev.Rel. 20 (2017) 1, 5 (reprint)
•
e-Print:
- 1202.5809
•
DOI:
- 10.1007/s41114-023-00043-4