Explicit Diffeomorphism Breaking, No-go Conditions, and the Gravity Sector of the SME
Robert Bluhm
TL;DR
This paper reviews the challenges and implications of incorporating fixed nondynamical backgrounds that explicitly break diffeomorphism invariance into gravity theories, focusing on the Standard-Model Extension (SME).
Contribution
It summarizes issues with explicit diffeomorphism breaking and discusses modifications to the SME to include fixed backgrounds.
Findings
Identifies problems caused by fixed nondynamical backgrounds in gravity theories.
Summarizes recent modifications to the SME to incorporate explicit diffeomorphism breaking.
Highlights no-go conditions related to explicit symmetry breaking in gravity.
Abstract
A brief recap is given of issues that can occur when fixed nondynamical backgrounds that explicitly break diffeomorphism invariance are included in gravity theories. Implications for the Standard-Model Extension (SME) are summarized, including recent results showing how the SME can be modified to accommodate such fixed nondynamical backgrounds.
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Taxonomy
TopicsGeophysics and Gravity Measurements · Geomagnetism and Paleomagnetism Studies · Cosmology and Gravitation Theories