It is shown that each non-flat regular static asymptotically flat solution of the gravitntionel field equation following from the Lagrengian L = R/B + &RikRik + b12R2, has in a certain sense positive energy. Further, for a set of pitremeters inclirding the B~CII-EISSTEIX theory some result,s concern
Singularity-free static centrally symmetric solutions of some fourth order gravitational field equations
โ Scribed by B. Fiedler; R. Schimming
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 588 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0004-6337
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โฆ Synopsis
of some Fourth Order Sektion Rlatheniatik der Karl-nIars-Universitat R. SCHIMMINC, Greifswald Sektion Nathcmatik tler Ernst-hIoritz-Arii(lt-'C7niversit~t Die 'on TREDER vorgeschlagenen Gravitationsfeldgleichungen 4. Ordnung mit ciner Linearkombination des Bachtensors und des Einsteintensors auf der linken Seite besitzen statische zentralsymmetrischc Losungen, welche in ciner Umgebung des S~inmctriczentrums analytisch uiid nicht flach sind.
The fourth order field equations proposed by TREUER with a linear combination of BACH'S tensor and EINSTEIS'S tensor on the lcft-hand sidc admit static ccntrally symmetric solutions which are analytical and non-flat in some neighborhood of the criit rc o f s yiii i i i ct ry .
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