scholarly journals Naked singularity formation in $${f({\mathcal R})}$$ gravity

2011 ◽  
Vol 43 (11) ◽  
pp. 2943-2963 ◽  
Author(s):  
A. H. Ziaie ◽  
K. Atazadeh ◽  
S. M. M. Rasouli



2012 ◽  
Vol 27 (26) ◽  
pp. 1250148 ◽  
Author(s):  
ZAHID AHMAD

In this paper, the gravitational collapse has been studied in the context of higher-dimensional charged-Vaidya spacetime. It is shown that naked singularity always exists in this case and strong form of cosmic censorship is violated. This work extends the earlier studies on naked singularity formation in higher dimensions.



2002 ◽  
Vol 107 (3) ◽  
pp. 449-524 ◽  
Author(s):  
T. Harada ◽  
H. Iguchi ◽  
K.-I. Nakao


2021 ◽  
Vol 2081 (1) ◽  
pp. 012036
Author(s):  
Vitalii Vertogradov

Abstract In this paper we investigate how the leading term in the geodesic equation in Schwarzschild spacetime changes under the coordinate transformation to Eddington-Finkelstein coordinates. This term corresponds to the Newton force of attraction. Also we consider this term when we add the energy-momentum tensor of the form of the null dust and the null perfect fluid into right-hand side of the Einstein equation. We estimate the value of this force in Vaidya spacetime when the naked singularity formation occurs. Also we give conditions in generalized Vaidya spacetime when this force of attraction is replaced by the force of repulsion.



1998 ◽  
Vol 58 (4) ◽  
Author(s):  
Tomohiro Harada ◽  
Hideo Iguchi ◽  
Ken-ichi Nakao








2010 ◽  
Vol 27 (7) ◽  
pp. 075016 ◽  
Author(s):  
Amir Hadi Ziaie ◽  
Khedmat Atazadeh ◽  
Yaser Tavakoli


2011 ◽  
Vol 20 (04) ◽  
pp. 463-495 ◽  
Author(s):  
DANIELE MALAFARINA ◽  
PANKAJ S. JOSHI

Using the general formalism for spherical gravitational collapse developed in [P. S. Joshi and I. H. Dwivedi, Class. Quant. Grav.16 (1999) 41; P. S. Joshi and R. Goswami, Phys. Rev. D76 (2007) 084026], we investigate here the final fate of a spherical distribution of a matter cloud, where radial pressures vanish but tangential pressures are nonzero. Within this framework, firstly we examine the effect of introducing a generic small pressure in a well-known black hole formation process, which is that of an otherwise pressure-free dust cloud. The intriguing result we find is that a dust collapse that was going to a black hole final state could now go to a naked singularity final configuration, when arbitrarily small tangential pressures are introduced. The implications of such a scenario are discussed in some detail. Secondly, the approach here allows us to generalize the earlier results obtained on gravitational collapse with nonzero tangential pressure, in the presence of a nonzero cosmological constant. Finally, we discuss the genericity of black hole and naked singularity formation in collapse with nonzero tangential pressure. The treatment here gives a unified and complete picture on collapse final states, in terms of black hole and naked singularity formation, generalizing the earlier results obtained for this class of collapse models. Thus the role of tangential stresses towards determining collapse end-states emerges in a straightforward and transparent manner in our treatment.



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