Physics NotePublished
Solutions of the Spherically Symmetric Wave Equation in p + q Dimensions
Wolfgang Bietenholz; J. J. Giambiagi
1994
Publication details
- Authors
- Wolfgang Bietenholz; J. J. Giambiagi
- Type
- Physics Note
- Status
- Published
- Publication date
- 1994
- Description
- We discuss solutions of the spherically symmetric wave equation and Klein Gordon equation in an arbitrary number of spatial and temporal dimensions. Starting from a given solution, we present various procedures to generate further solutions in the same or in different dimensions. The transition from odd to even and non integer dimensions can be performed by fractional derivation or integration. The dimensional shift, however, can also be interpreted simply as a modification of the dynamics. We also discuss the analytic continuation to arbitrary real powers of the D'Alembert operator. There, particular peculiarities in the pole structure show up when p and q are both even. Finally, we give operators which transform a space into a time coordinate and v.v. and comment on their possible relation to black holes. In this context, we describe a few aspects of the extension of our discussion to a curved metrics.
- Year
- 1994
- Number
- CBPF-NF-016/94
- Linked to a thesis
- No
- Linked to a grant
- No