Article

 

Failure of standard conservation laws at a classical change of signature Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/articles/08612p25n

This is the publisher’s final pdf. The published article is copyrighted by the American Physical Society and can be found at:  http://prd.aps.org/.

Descriptions

Attribute NameValues
Creator
Abstract
  • The divergence theorem as usually stated cannot be applied across a change of signature unless it is reexpressed to allow for a finite source term on the signature change surface. Consequently all conservation laws must also be ‘‘modified,’’ and therefore insistence on conservation of matter across such a surface cannot be physically justified. The Darmois junction conditions normally ensure conservation of matter via Israel’s identities for the jump in the energy-momentum density, but not when the signature changes. Modified identities are derived for this jump when a signature change occurs, and the resulting surface effects in the conservation laws are calculated. In general, physical vector fields experience a jump in at least one component, and a source term may therefore appear in the corresponding conservation law. Thus current is also not conserved. These surface effects are a consequence of the change in the character of physical law. The only way to recover standard conservation laws is to impose restrictions that no realistic cosmological model can satisfy.
Resource Type
DOI
Date Available
Date Issued
Citation
  • Hellaby, C., & Dray, T. (1994). Failure of standard conservation laws at a classical change of signature. Physical Review D, 49(10), 5096-5104.
Academic Affiliation
Series
Rights Statement
Funding Statement (additional comments about funding)
  • T.D. was partially funded by NSF Grant No. PHY 92-08494. C.H. would like to thank the FRD for a research grant.
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2013-08-20T23:15:13Z (GMT). No. of bitstreams: 1 DrayTevianMathematicsFailureStandardConservation.pdf: 631501 bytes, checksum: 9d60601f67a0d7a54c044ed6889c4d0a (MD5) Previous issue date: 1994-05-15
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2013-08-20T23:15:13Z (GMT) No. of bitstreams: 1 DrayTevianMathematicsFailureStandardConservation.pdf: 631501 bytes, checksum: 9d60601f67a0d7a54c044ed6889c4d0a (MD5)
  • description.provenance : Submitted by Deanne Bruner (deanne.bruner@oregonstate.edu) on 2013-08-20T23:05:37Z No. of bitstreams: 1 DrayTevianMathematicsFailureStandardConservation.pdf: 631501 bytes, checksum: 9d60601f67a0d7a54c044ed6889c4d0a (MD5)

Relationships

Parents:

This work has no parents.

Items