Gravitational Collapse in Higher Dimension
نویسندگان
چکیده
Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and appearance of naked singularity has been analyzed both for non-marginal and marginally bound cases. It has been shown that naked singularity is possible for any arbitrary dimension in non-marginally bound case. For marginally bound case we have examined the radial null geodesics from the singularity and found that naked singularity is possible upto five dimension.
منابع مشابه
Quasi-Spherical Gravitational Collapse in higher dimension and the effect of equation of state
Gravitational collapse in (n+2) dimensional quasi-spherical space-time is studied for a fluid with non vanishing radial pressure. An exact analytic solution is obtained (ignoring the arbitrary integration function) for the equation of state pr = (γ − 1)ρ. The singularity is studied locally by comparing the time of formation of apparent horizon and the central shell focusing singularity while th...
متن کاملOn Choptuik’s scaling in higher dimensions
We extend Choptuik’s scaling phenomenon found in general relativistic critical gravitational collapse of a massless scalar field to higher dimensions. We find that in the range 4 ≤ D ≤ 11 the behavior is qualitatively similar to that discovered by Choptuik. In each dimension we obtain numerically the universal numbers associated with the critical collapse: the scaling exponent γ and the echoing...
متن کاملNaked Singularities in Higher Dimensional Gravitational Collapse
Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally bound case. It is clearly demonstrated that in the former case naked singularities do not appear in the space-time having more than five dimension, which appears ...
متن کاملOn naked singularities in higher dimensional Vaidya space - times
We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered with increase in dimensions and hence higher dimensions favor black hole in comparison to naked singularity. The C...
متن کاملRole of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse
X iv :g rqc /0 30 80 37 v1 1 2 A ug 2 00 3 Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse Ujjal Debnath and Subenoy Chakraborty Department of Mathematics, Jadavpur University, Calcutta-32, India. (Dated: February 7, 2008) We study the gravitational collapse in (n+2)-D quasi-spherical Szekeres space-time (which possess no killing vectors) with dust as the matte...
متن کامل