Gravity coupled to a conformal scalar field
| advisor: | Dott. Mag. Marcello Ortaggio, Ph.D. (MÚ AV ČR) |
| e-mail: | show e-mail |
| type: | phd thesis |
| branch of study: | MI_MM |
| description: | A major advance in general relativity (GR) consists of the so-called "no-hair" theorems [1], which characterize electrovacuum black holes in equilibrium: a single, stationary black hole in GR is fully described by its mass, angular momentum and electric (or magnetic) charge. However, while several no-hair theorems have been obtained also beyond the Einstein-Maxwell theory, numerous hairy black holes can be found once some of the assumptions of those theorems are relaxed (as reviewed, e.g., in [2-4]). A particularly interesting set-up which allows for hairy black holes is given by Einstein's gravity coupled to a conformal scalar field, which led to the well-known solution of Bocharova, Bronnikov, Melnikov and Bekenstein [5,6].
This thesis will study solutions of gravity theories coupled to conformal scalars and other matter fields. One of the goals will consist in characterizing the space of static solutions in the presence of additional matter sharing the conformal invariance, such as an electromagnetic field. In particular, black holes and their properties will be analyzed. Related literature includes [7-9]. Depending on the outcome of this investigation and on ongoing developments in the field, further objectives may include the understanding of the effects brought into the picture by "higher order" corrections to the theory, or the role played by the number of spacetime dimensions. |
| references: | [1] M. Heusler. Black Hole Uniqueness Theorems. Cambridge University Press, Cambridge,
1996.
[2] M. S. Volkov and D. V. Gal\'tsov. Phys. Rept., 319:1 1999 [3] C. A. R. Herdeiro and E. Radu. Int. J. Mod. Phys. D, 24:1542014, 2015. [4] J. D. Bekenstein. 1996. ArXiv:gr-qc/9605059. [5] N. M. Bocharova, K. A. Bronnikov, and V. N. Melnikov. Vestn. Mosk. Univ. Ser. III Fiz. Astron., (6):706, 1970. [6] J. D. Bekenstein. Ann. Physics, 82:535, 1974. [7] C. Martinez, R. Troncoso, and J. Zanelli. Phys. Rev. D, 67:024008, 2003. [8] E. Radu and E. Winstanley. Phys. Rev. D, 72:024017, 2005. [9] G. Dotti, R. J. Gleiser, and C. Marti nez. Phys. Rev. D, 77:104035, 2008. |
| last update: | 02.05.2022 13:46:23 |
administrator for this page:
Ľubomíra Dvořáková | last update: 09/12/2011