Observability time for the pulsar that moves in external strong gravitational field
Keywords:
extarrnal gravitational field, gravitational lensing, pulsar, Galactic CenterAbstract
The problem of propogation of radiation of pulsar that moves in external gravitational field is considered in the article. The relations for the calculation of the intervals of time when the pulsar can not be observed are obtained. The general relativistic effects caused by two different mechanisms are analysed. The first one is determined by the twisted trajectories of light that propogates to the observer, and the second one by the precession of the rotation axis of pulsar due to interaction of the spin angular momentum of the pulsar with external gravitational field. It is shown that the radiation from pulsarthat moves in the vicinity of supermassive black hole can be detected by Earth observer only in certain intervals of time. These intervals can have length of order of the period of pulsar motion aroud the black hole. The possibilities of application of these results to the investigation of the pulsars in the vicinity of the Galactic Center are discussed. The numerical model that gives possibilities for calculating of the time of observability of pulsar for distinct parameters of motion of pulsar is presented. Due to the general relativistic consideration of the problem in this paper it is possible to use our results for the pulsar that is close to a supermassive black hole event horison.
References
- Morris Mark R. The environment of the Galaxyʼs central black hole. In: Falcke H. F., Hehl F. W. (eds). The galactic black hole. Lectures on general relativity and astrophysics. London : IOP Publ., 2003. P. 95–121.
- Genzel R., Gillesen S. The Galactic Center massive black hole and nuclear star claster. Rev. Mod. Phys. 2010. P. 3144–3195. DOI: 10.1103/RevModPhys.82.3121.
- Dokuchaev V. I., Eroshenko Yu. N. [Physical laboratory at the center of the Galaxy]. Usp. fiz. nauk. 2015. Vol. 185, issue 8. P. 829–843. DOI: 10.3367/UFNr.0185.201508c.0829 (in Russ.).
- Zhang F., Lu Y., Yu Q. On testing the Kerr metric of the massive black hole in the Galactic Center via stellar orbital motion: full general relativistic treatment. The Astrophys. J. 2015. Vol. 809, No. 1. P. 1–27. DOI: 10.1088/0004-637X/809/2/127.
- Zhang F., Saha P. Probing the Spinning of the Massive Black Hole in the Galactic Center via Pulsar Timing: A Full Relativistic Treatment. The Astrophys. J. 2017. Vol. 849, No. 1. P. 1–15. DOI: 10.3847/1538-4357/aa8f47.
- Tarasenko A. Reconstruction of a compact object motion in the vicinity of a black hole by its electromagnetic radiation. Phys. Rev. D. 2010. Vol. 81, issue 12. Article ID: 123005. P. 1–10. DOI: 10.1103/PhysRevD.81.123005.
- Zhang F., Lu Y., Yu Q. On the existence of pulsars in the vicinity of the massive black hole in the Galactic Center. The Astrophys. J. 2014. Vol. 784, No. 1. P. 1–8. DOI: 10.1088/0004-637X/784/2/106.
- Hailey C. J., Mori K., Bauer F. E., et al. A density cusp of quiescent X-ray binaries in the central parsec of the Galaxy. Nature. 2018. Vol. 556. P. 70–73. DOI: 10.1038/nature25029.
- Shapiro S. L., Teukolsky S. A. Black holes, white dwarfs, and neutron stars. The physics of compact objects. New York : John Wiley & Sons, 1983. Russ. ed.: Shapiro S. L., Teukolsky S. A. Chernye dyry, belye karliki i neitronnye zvezdy : in 2 parts. Moscow : Mir, 1985.
- Wang Y., Creighton T., Price R., et al. Strong fiel effects on pulsar arrival times: general orientations. The Astrophys. J. 2009. Vol. 705, No. 2. P. 1252–1259. DOI: doi:10.1088/0004-637X/705/2/1252.
- Stovall K., Creighton T., Price R. H., et al. Observability of pulsar beam bending by the Sgr A* black hole. The Astrophys. J. 2012. Vol. 744, No. 2. P. 1–8. DOI: 10.1088/0004-637X/744/2/143.
- Stephani H. Relativity. An introduction to special and general relativity. Cambridge : Camb. Univ. Press, 2004.
- Dixon W. G. A covariant multipole formalism for extended test bodies in general relativity. Nuovo Cimento. 1964. Vol. 34, issue 2. P. 317–339. DOI: 10.1007/BF02734579.
- Chandrasekhar S. The mathematical theory of black holes. New York : Oxford Univ. Press, 1983. Russ. ed.: Chandrasekhar S. Matematicheskaya teoriya chernykh dyr : in 2 parts. Moscow : Mir, 1986. Part 1.
- Korn G. A., Korn T. M. Mathematical handbook for scientists and ingineers. Definitions, theorems and formulas for reference and review. New York : McGraw – Hill [Book Co.]. 1968. Russ. ed.: Korn G., Korn T. Spravochnik po matematike (dlya nauchnykh rabotnikov i inzhenerov). Moscow : Nauka, 1973.
Downloads
Published
Issue
Section
License
The authors who are published in this journal agree to the following:
- The authors retain copyright on the work and provide the journal with the right of first publication of the work on condition of license Creative Commons Attribution-NonCommercial. 4.0 International (CC BY-NC 4.0).
- The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.
- The authors have the right to post their work on the Internet (e.g. on the institutional store or personal website) prior to and during the review process, conducted by the journal, as this may lead to a productive discussion and a large number of references to this work. (See The Effect of Open Access.)












