Publications of The Korean Astronomical Society (천문학논총)

The Korean Astronomical Society (한국천문학회)
권호 표지
DOI QR코드

DOI QR Code

WEAK GRAVITATIONAL LENSING BY STOCHASTIC GRAVITATIONAL WAVE BACKGROUND

확률적 중력파동 배경에 의한 약한 중력렌즈

  • Published : 2007.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

On the formulation frameworks of linearly perturbed spacetime and weak gravitational lensing(WGL) we studied the statistical properties of a bundle of light rays propagating through stochastic gravitational wave background(SGWB). For this we considered the SGWB as tensor perturbations of linearly perturbed Friedmann spacetime. Using the solution of null geodesic deviation equation(NGDE) we related the convergence, shear and rotation deformation spectra of WGL with the strain spectra of SGWB. Adopting the astrophysical and cosmological SGWB strain spectra which were already known we investigated the approximated spectral forms of convergence, shear and rotation of WGL.

Keywords

References

  1. 송두존, 2004, 건드림된 프리이드만 시공간 속의 각지름 거리: 중력파의 효과, PKAS, 19, 1
  2. Allen, B., 1996, The stochastic gravity-wave background: sources and detection, gr-qc/9604033
  3. Bardeen, J. M., 1980, Gauge-invariant cosmological perturbations, PRD, 22, 1882
  4. Bar-kana, M. S., 1996, Limits on a stochastic background of gravitational waves from gravitational lensing, PRD, 54, 7138
  5. Cutler, C. & Thorne, K. S., 2002, An Overview of Gravitational-Wave Sources, gr-qc/0204090
  6. Dodelson, S., 2003, Modern Cosmology, Academic Press
  7. Durrer, 1994, Light de°ection in perturbed Friedmann universes, PRL, 72, 3301 https://doi.org/10.1103/PhysRevLett.72.3301
  8. Enoki, M., Inoue, K. T., Nagashima, M. & Sugiyama, N., 2004, Gravitational Waves from Supermassive Black Hole Coalescence in a Hierarchical Galaxy Formation Model, astro-ph/0404389
  9. Farmer, A. J. & Phinney, E. S., 2003, The Gravitational Wave Background from Cosmological Compact Binaries, astro-ph/0304393
  10. Hawking, S. W. & Ellis, G. F. R., 1973, The Large Scale Structure of Spacetime, Cambridge University Press
  11. Hwang, J.-C., 1991, Perturbations of the Robertson-Walker space - Multicomponent sources and generalized gravity, ApJ, 375, 443
  12. Jaffe, A. H., 2004, Observing Gravitational Radiation with QSO Proper Motions and the SKA, astro-ph/0409637
  13. Kaiser, N., 1998, Weak Lensing and Cosmology, ApJ, 498, 26 https://doi.org/10.1086/305515
  14. Kaiser, N. & Jaffe, A., 1997, Bending of Light by Gravity Waves, ApJ, 484, 545 https://doi.org/10.1086/304357
  15. Kosowsky, A., Turner, M. S., & Watkins, R., 1992, Gravitational waves from first-order cosmological phase transitions, PRL, 69, 2026
  16. Liddle, A. L. & Lyth, D. H., 1992, COBE, gravitational waves, in°ation and extended inflation, Phys. Lett. B, 291, 391 https://doi.org/10.1016/0370-2693(92)91393-N
  17. Liddle, A. L. & Lyth, D. H., 2000, Cosmological Inflation and Large Scale Structure, Cambridge
  18. Linder, E. V., 1988a, Early universe constraints from gravitational waves, A&A, 204, L11
  19. Linder, E. V., 1988b, Clustering correlations and limits on cosmological gravitational waves, ApJ, 328, 77 https://doi.org/10.1086/166269
  20. Maggiore, M., 200, Gravitational Wave Experiments and Early Universe Cosmology, gr-qc/9909001
  21. Mollerach, S., 1998, Gravitational lensing on the cosmic microwave background by gravity waves, PRD, 57, 1303 https://doi.org/10.1103/PhysRevD.57.1303
  22. MTW: Misner, C. W., Thorne, K. S. & Wheeler, J. A., 1973, Gravitation, Freeman, San Francisco
  23. Muller, E. & Janka, H.-T., 1997, Gravitational radiation from convective instabilities in Type II supernova explo- sions, A&A, 317, 140
  24. Noh, H. & Hwang, J.-C., 1995, Perturbations of an anisotropic spacetime: Formulation, PRD, 52, 1970
  25. Panek, M., 1986, Large-scale microwave background °uctuations: Gauge-invariant formalism, PRD, 34, 416
  26. Phinney, E. S., 2001, A Practical Theorem on Gravitational Wave Backgrounds , astro-ph/0108028
  27. Pyne, T. & Birkinshaw, M., 1993, Null Geodesics in Perturbed Spacetimes, ApJ, 415, 459 https://doi.org/10.1086/173178
  28. Schneider, P., Ehlers, J, & Falco, E. E., 1992, Gravitational Lenses, Springer-Verlag, Berlin
  29. Seitz, S., Schneider, P., & Ehlers, 1994, Light propagation in arbitrary spacetimes and the gravitational lens approximation, Class. Quant. Grav., 11, 2345 https://doi.org/10.1088/0264-9381/11/9/016
  30. Smith, T., Kamiokowski, M. & Cooray, A., 2005, Direct detection of the inflationary gravitational wave back- ground, astro-ph/0506422
  31. Tomita, K., Asada, H. & Hamana, T., 1999, Distances in Inhomogeneous Cosmological Models, Prog. Theo. Phys. Suppl., 133, 155 https://doi.org/10.1143/PTPS.133.155
  32. Turner, M. S., 1996, Detectability of in°ation-produced gravitational waves, astro-ph/9607066