{ "id": "1112.2151", "version": "v1", "published": "2011-12-09T17:13:36.000Z", "updated": "2011-12-09T17:13:36.000Z", "title": "Prospects for Probing the Spacetime of Sgr A* with Pulsars", "authors": [ "K. Liu", "N. Wex", "M. Kramer", "J. M. Cordes", "T. J. W. Lazio" ], "comment": "12 pages, 10 Figures, accepted for publication in ApJ", "categories": [ "astro-ph.HE", "astro-ph.GA" ], "abstract": "The discovery of radio pulsars in compact orbits around Sgr A* would allow an unprecedented and detailed investigation of the spacetime of the supermassive black hole. This paper shows that pulsar timing, including that of a single pulsar, has the potential to provide novel tests of general relativity, in particular its cosmic censorship conjecture and no-hair theorem for rotating black holes. These experiments can be performed by timing observations with 100 micro-second precision, achievable with the Square Kilometre Array for a normal pulsar at frequency above 15 GHz. Based on the standard pulsar timing technique, we develop a method that allows the determination of the mass, spin, and quadrupole moment of Sgr A*, and provides a consistent covariance analysis of the measurement errors. Furthermore, we test this method in detailed mock data simulations. It seems likely that only for orbital periods below ~0.3 yr is there the possibility of having negligible external perturbations. For such orbits we expect a ~10^-3 test of the frame dragging and a ~10^-2 test of the no-hair theorem within 5 years, if Sgr A* is spinning rapidly. Our method is also capable of identifying perturbations caused by distributed mass around Sgr A*, thus providing high confidence in these gravity tests. Our analysis is not affected by uncertainties in our knowledge of the distance to the Galactic center, R0. A combination of pulsar timing with the astrometric results of stellar orbits would greatly improve the measurement precision of R0.", "revisions": [ { "version": "v1", "updated": "2011-12-09T17:13:36.000Z" } ], "analyses": { "keywords": [ "black hole", "no-hair theorem", "detailed mock data simulations", "standard pulsar timing technique", "consistent covariance analysis" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/0004-637X/747/1/1", "journal": "The Astrophysical Journal", "year": 2012, "month": "Mar", "volume": 747, "number": 1, "pages": 1 }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1080808, "adsabs": "2012ApJ...747....1L" } } }