A new solution of Einstein’s vacuum field equations

Author:

VISHWAKARMA RAM GOPAL

Publisher

Springer Science and Business Media LLC

Subject

General Physics and Astronomy

Reference11 articles.

1. I Ozsváth and E Schücking, An anti-Mach metric, in: Recent developments in general relativity (Pergamon Press, Oxford, 1962), p. 339 [1a] The same is not true for the complete Einstein’s equations which require the speculative dark matter and dark energy in order to explain the cosmological observations. On the one hand, the theory predicts that about 27% of the total content of the Universe is made of non-baryonic dark matter particles, which should certainly be predicted by some extension of the Standard Model of particle physics. However, there is no indication of any new physics beyond the Standard Model which has been verified at the LHC. On the other hand, the dark energy, which according to the theory, constitutes about 68% of the total content of the Universe, poses serious confrontation with particle physics. [1b] Although other field equations, for example Maxwell’s equations, possess source-free solu tions and do not pose any consistency problem, the case of gravitation is different wherein the existence of a source-free solution goes against the requirements of Mach’s principle. [1c] Though the presence of a singularity in a solution can be asserted unanimously by the diver gence of the Kretschmann scalar K, the flatness of a solution cannot be asserted by the vanishing of K. For this we have to depend on the vanishing of the Riemann tensor. We shall come through some curved solutions for which K will be vanishing!

2. R C Tolman, Relativity, thermodynamics and cosmology (Oxford University Press, 1934)

3. S W Hawking and G F R Ellis, The large scale structure of spacetime (Cambridge University Press, 1973)

4. A Taub, Ann. Math. 53, 472 (1951)

5. E Newman, L Tamburino and T Unti, J. Math. Phys. 4, 915 (1963)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3