Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-11-30
Class.Quant.Grav.13:2395-2422,1996
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
29 pages, 14 Postscript figures; one figure, some paragraphs, and references added; to appear in Class. Quantum Grav
Scientific paper
10.1088/0264-9381/13/9/007
A set of simple rules for constructing the maximal (e.g. analytic) extensions for any metric with a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of these rules is extremely straightforward, as is demonstrated at various examples and illustrated with numerous figures. Despite the resulting simplicity we also comment on some subtleties concerning the concept of Penrose diagrams. Most noteworthy among these, maybe, is that (smooth) spacetimes which have both degenerate and non-degenerate (Killing) horizons do not allow for globally smooth Penrose diagrams. Physically speaking this obstruction corresponds to an infinite relative red/blueshift between observers moving across the two horizons. -- The present work provides a further step in the classification of all global solutions of the general class of two-dimensional gravity-Yang-Mills systems introduced in Part I, comprising, e.g., all generalized (linear and nonlinear) dilaton theories. In Part I we constructed the local solutions, which were found to always have a Killing field; in this paper we provide all universal covering solutions (the simply connected maximally extended spacetimes). A subsequent Part III will treat the diffeomorphism inequivalent solutions for all other spacetime topologies. -- Part II is kept entirely self-contained; a prior reading of Part I is not necessary.
Kloesch Thomas
Strobl Thomas
No associations
LandOfFree
Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classical and Quantum Gravity in 1+1 Dimensions, Part II: The Universal Coverings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-694630