Understand
We numerically investigate the gravitational collapse of collisionless particles in spheroidal configurations both in four and five-dimensional (5D) space-time.
- We repeat the simulation performed by Shapiro and Teukolsky (1991) that announced an appearance of a naked singularity, and also find that the similar results in 5D version.
- That is, in a collapse of a highly prolate spindle, the Kretschmann invariant blows up outside the matter and no apparent horizon forms.
- We also find that the collapses in 5D proceed rapidly than in 4D, and the critical prolateness for appearance of apparent horizon in 5D is loosened compared to 4D cases.
Built on
R. Penrose, Riv. Nuovo Cimento 1
1969
Earlier work this paper cites.
K. S. Thorne, in Magic Without Magic
1972
Earlier work this paper cites.
L. Smarr and J. W. York, Jr., Phys. Rev. D 17
1978
Earlier work this paper cites.
T. Nakamura, S. L. Shapiro and S. A. Teukolsky, Phys. Rev. D 38
1988
Earlier work this paper cites.
S. L. Shapiro and S. A. Teukolsky, Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
R. M. Wald and V. Iyer, Phys. Rev. D 44
1991
Earlier work this paper cites.
M. A. Pelath, K. P. Tod and R. M. Wald, Class. Quant. Grav. 15
1998
Earlier work this paper cites.
Similar
M. Alcubierre, et al., Int. J. Mod. Phys. D 10
2001
Cited alongside, same era.
D. Ida and K. Nakao, Phys. Rev. D 66
2002
Cited alongside, same era.
C. Barrabés, V. P. Frolov, and E. Lesigne, Phys. Rev. D 69
2004
Cited alongside, same era.
H. Shinkai and G. Yoneda, Gen. Rel. Grav. 36
2004
Cited alongside, same era.
C-M. Yoo, K. Nakao and D. Ida, Phys. Rev. D 71
2005
Cited alongside, same era.
J. M. M. Senovilla, Europhys. Lett. 81
2008
Cited alongside, same era.
H. Yoshino and M. Shibata, Phys. Rev. D 80
2009
Cited alongside, same era.
G. W. Gibbons, arXiv:0903.1580
Cited in the paper.
Then
see e.g., H. Shinkai, J. Korean Phys. Soc. 54
2009
Later among the works it cites.
Y. Yamada and H. Shinkai, Class. Quant. Grav. 27
2010
Later among the works it cites.
M. Shibata and H. Yoshino, Phys. Rev. D 81
2010
Later among the works it cites.
M. Zilhão, et al., Phys. Rev. D 81
2010
Later among the works it cites.
H. Witek, et al. Phys. Rev. D 82
2010
Later among the works it cites.
L. Lehner and F. Pretorius, Rhys. Rev. Lett. 105
2010
Later among the works it cites.
Beyond the bibliography
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…