Article detail · 2003
Shortcuts to high symmetry solutions in gravitational theories
- Year
- 2003
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Classical and Quantum Gravity
- Catalog match (ISSN) Classical and Quantum Gravity
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those-highly symmetric-geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axially symmetric solutions in a wide range of models beyond D = 4 Einstein theory; already at D = 4, novel results emerge such as exclusion of Schwarzschild solutions in cubic curvature models and restrictions on 'independent' integration parameters in quadratic ones. Another application of Weyl's method is an easy derivation of Birkhoff's theorem in systems with only tensor modes. Other uses are also suggested.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
103 citations
OpenAlex cited_by_count (cache / database)
16 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Canonical structure of higher derivative gravity in 3D 2010
- Canonical structure of higher derivative gravity in 3D 2010
- Spherically symmetric solutions of Einstein plus non-polynomial gravities 2008
- Born Infeld Ho ava gravity 2010
- Born Infeld Horava gravity 2010
- Minimal extension of Einstein's theory: The quartic gravity 2016
- Minimal extension of Einstein s theory The quartic gravity 2016
- Shortcuts to spherically symmetric solutions: a cautionary note 2004
- Relativistic stars in Starobinsky gravity with the matched asymptotic expansions method 2017
- On the maximally symmetric vacua of generic Lovelock gravities* 2025