Journal article


Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable, and quantizable matter


Publication Details
Author(s): Giesel K, Schuller F, Witte C, Wolfarth M
Publisher: AMER PHYSICAL SOC
Publication year: 2012
Volume: 85
Journal issue: 10
ISSN: 1550-7998

Abstract

Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry matter field equations which are predictive, interpretable, and quantizable. These three conditions on matter translate into three corresponding algebraic conditions on the underlying tensorial geometry: the latter must be hyperbolic, time-orientable, and energy-distinguishing. Lorentzian metrics, on which general relativity and the standard model of particle physics are built, present just the simplest tensorial spacetime geometry satisfying these conditions. The problem of finding gravitational dynamics-for the general tensorial spacetime geometries satisfying the above minimum requirements-is reformulated in this paper as a system of linear partial differential equations, in the sense that their solutions yield the actions governing the corresponding spacetime geometry. Thus, the search for modified gravitational dynamics is reduced to a clear mathematical task.



How to cite
APA: Giesel, K., Schuller, F., Witte, C., & Wolfarth, M. (2012). Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable, and quantizable matter. Physical Review D, 85(10). https://dx.doi.org/10.1103/PhysRevD.85.104042

MLA: Giesel, Kristina, et al. "Gravitational dynamics for all tensorial spacetimes carrying predictive, interpretable, and quantizable matter." Physical Review D 85.10 (2012).

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