GENERAL |
|
|
|
|
A New Solution to Einstein's Field Equations |
SHEN Ming |
Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027 |
|
Cite this article: |
SHEN Ming 2009 Chin. Phys. Lett. 26 060401 |
|
|
Abstract We construct a new exact solution to the vacuum Einstein field equations. This solution possesses a naked physical singularity. The norm of the Riemann curvature tensor of the solution takes infinity at some points and the solution does not have any event horizon around the singularity. A detailed analysis of this new singularity is also presented.
|
Keywords:
04.20.Jb
04.20.Dw
98.80.Jk
02.30.Jr
|
|
Received: 04 November 2008
Published: 01 June 2009
|
|
PACS: |
04.20.Jb
|
(Exact solutions)
|
|
04.20.Dw
|
(Singularities and cosmic censorship)
|
|
98.80.Jk
|
(Mathematical and relativistic aspects of cosmology)
|
|
02.30.Jr
|
(Partial differential equations)
|
|
|
|
|
[1] Bi\v{c\'{ak J 2000 Lecture Notes in Phys. 540 1 [2] Hawking S W and Ellis G F R 1973 The Large ScaleStructure of Spacetime (Cambridge: Cambridge University) [3] Jiang Q Q and Yang S Z 2006 Chin. Phys. Lett. 23 3169 [4] Kerr R P 1963 Phys. Rev. Lett. 11 237 [5] Kong D X and Liu K F arXiv 0808 1100v2 [6] Kong D X, Liu K F and Shen M arXiv 0807 4981 [7] Kong D X, Liu K F and Shen M arXiv 0809 0046 [8] Schwarzchild K 1916 Sitz. Preuss. Akad. Wiss. 1 189 [9] Stephani H, Kramer D, MacCallum M, Hoenselaers C and HerltE 2003 Cambridge Monographs on Mathematical Physics(Cambridge: Cambridge University) [10] Szekeres P 1965 J. Math. Phys. 6 1387 [11] Wei Y H 2008 Chin. Phys. Lett. 25 2782 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|