Non-Riemannian Description of Robinson-Trautman Spacetimes in Brans-Dicke Theory Of Gravity
作者： Muzaffer Adak , Tekin Dereli , Yorgo Şenikoğlu
DOI: 10.1142/S0218271819500706
关键词: Gravitation 、 Differential form 、 Scalar field 、 Metric (mathematics) 、 Mathematical physics 、 Null (mathematics) 、 Basis (linear algebra) 、 Brans–Dicke theory 、 Physics 、 Gravity (chemistry)
摘要: The variational field equations of Brans-Dicke scalar-tensor theory gravitation are given in a non-Riemannian setting the language exterior differential forms over 4-dimensional spacetimes. A conformally re-scaled Robinson-Trautman metric together with scalar used to characterise algebraically special All relevant tensors worked out complex null basis and explicitly an appendix for future reference. Some families solutions also discussed.
arxiv.org
sci-hub.se 参考文章(37)
Piotr T Chrusciel, Piotr T Chrusciel, On the Global Structure of Robinson-Trautman Space-Times Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 436, pp. 299- 316 ,(1992) , 10.1098/RSPA.1992.0019
T. DERELI, R. W. TUCKER, On the Detection of Scalar Field Induced Spacetime Torsion arXiv: General Relativity and Quantum Cosmology. ,(2001) , 10.1142/S021773230200662X
Ioannis Bakas, Kostas Skenderis, Non-equilibrium dynamics and AdS 4 Robinson-Trautman Journal of High Energy Physics. ,vol. 2014, ,(2014) , 10.1007/JHEP08(2014)056
T. Tahamtan, O. Svítek, Robinson-Trautman solution with scalar hair Physical Review D. ,vol. 91, pp. 104032- ,(2015) , 10.1103/PHYSREVD.91.104032
Jiří Podolský, Otakar Svítek, Radiative spacetimes approaching the Vaidya metric Physical Review D. ,vol. 71, pp. 124001- ,(2005) , 10.1103/PHYSREVD.71.124001
P. C. Vaidya, The gravitational field of a radiating star Proceedings of the Indian Academy of Sciences - Section A. ,vol. 33, pp. 264- 276 ,(1951) , 10.1007/BF03173260
Some spherical gravitational waves in general relativity Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 265, pp. 463- 473 ,(1962) , 10.1098/RSPA.1962.0036
H. A. Buchdahl, Static solutions of the Brans--Dicke equations. International Journal of Theoretical Physics. ,vol. 6, pp. 407- 412 ,(1972) , 10.1007/BF01258735
R. Güven, E. Yörük, Stringy Robinson-Trautman Solutions Physical Review D. ,vol. 54, pp. 6413- 6423 ,(1996) , 10.1103/PHYSREVD.54.6413
C. Brans, R. H. Dicke, Mach's principle and a relativistic theory of gravitation Physical Review. ,vol. 124, pp. 925- 935 ,(1961) , 10.1103/PHYSREV.124.925