Abstract
The Klein–Gordon equations are solved for the case of a plane-symmetric static massless scalar field in general relativity with cosmological constant, generalizing the solutions found by Taub, Novotny and Horsky, and Singh. A separate class of solutions is obtained in which the metrics reduce to flat space in the limit that \(\Lambda \rightarrow 0\).The static solutions can be used to generate time-dependent cosmological solutions, one of which exhibits rapid inflation followed by continued exponential expansion at all later times.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Stephani (2003). Exact Solutions to Einstein’s Field Equations, 2nd edn. Cambridge University Press, Cambridge
Taub A.H. (1951). Ann. Math. 53: 472
Novotny J. and Horsky J. (1974). Czech. J. Phys. B 24: 718
Singh T. (1974). General Relativ. Grav. 5: 657–662
Vaidya A.M. and Som M.M. (1983). Phys. Rev. D 27(8): 1728–1730
Carmeli M. (1982). General Relativity and Gauge Theory. Wiley, New York
Wyman M. (1981). Phys. Rev. D 24: 839
Tabensky R.R. and Taub A.H. (1973). Commun. Math. Phys. 29: 61
Fisher I.Z. (1948). Zhurnal Experimental’noj i Teoreticheskoj Fiziki. 18: 636–640
Virbhadra K.S. (1997). J. Mod. Phys. A 12(2): 4831
Janis A.I., Newman E.T. and Winicour J. (1968). Phys. Rev. Lett. 20: 878
Zhang Z.-Y. (1993). Int. J. Theoret. Phys. 32(11): 2015–2021
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Vuille, C. Exact solutions for the massless plane symmetric scalar field in general relativity, with cosmological constant. Gen Relativ Gravit 39, 621–632 (2007). https://doi.org/10.1007/s10714-007-0411-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-007-0411-9