Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/36541
Title: | Deconstructing scaling virial identities in general relativity: spherical symmetry and beyond |
Author: | Herdeiro, Carlos A. R. Oliveira, João M. S. Pombo, Alexandre M. Radu, Eugen |
Issue Date: | 15-Jul-2022 |
Publisher: | American Physical Society |
Abstract: | Derrick-type virial identities, obtained via dilatation (scaling) arguments, have a variety of applications in field theories. We deconstruct such virial identities in relativistic gravity showing how they can be recast as self-evident integrals of appropriate combinations of the equations of motion. In spherical symmetry, the appropriate combination and gauge choice guarantee the geometric part can be integrated out to yield a master form of the virial identity as a non-trivial energy-momentum balance condition, valid for both asymptotically flat black holes and self-gravitating solitons, for any matter model. Specifying the matter model we recover previous results obtained via the scaling procedure. We then discuss the more general case of stationary, axi-symmetric, asymptotically flat black hole or solitonic solutions in General Relativity, for which a master form for their virial identity is proposed, in a specific gauge but regardless of the matter content. In the flat spacetime limit, the master virial identity for both the spherical and axial cases reduces to a balance condition for the principal pressures, discussed by Deser. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/36541 |
DOI: | 10.1103/PhysRevD.106.024054 |
ISSN: | 0556-2821 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos GGDG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PRD106(2022)024054.pdf | 240.37 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.