scholarly journals Analytical studies on the hoop conjecture in charged curved spacetimes

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Yan Peng

AbstractRecently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an analytical proof on Thorne hoop conjecture in the spatially regular static charged fluid sphere spacetimes.






1975 ◽  
Vol 29 (2) ◽  
pp. 357-363 ◽  
Author(s):  
A. Banerjee ◽  
N. Chakravorty ◽  
S. B. Duttachoudhury


1979 ◽  
Vol 20 (10) ◽  
pp. 2455-2468 ◽  
Author(s):  
Bahram Mashhoon ◽  
M. Hossein Partovi


1992 ◽  
Vol 70 (5) ◽  
pp. 341-344 ◽  
Author(s):  
C. Wolf

The metric for a charged fluid sphere in D space-time dimensions is found for the case of vanishing normal pressure. The parameters in the solutions are found by matching the interior solution to the exterior Reissner–Nordstròm solution.





2011 ◽  
Vol 20 (09) ◽  
pp. 1675-1687 ◽  
Author(s):  
BASANTI DAS ◽  
PRATAP CHANDRA RAY ◽  
IRINA RADINSCHI ◽  
FAROOK RAHAMAN ◽  
SAIBAL RAY

In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specializations and under these we solve the Einstein–Maxwell field equations in isotropic coordinates. The analytical solutions thus obtained are matched to the exterior Reissner–Nordström solutions which concern the values for the metric coefficients eν and eμ. We derive the pressure, density and pressure-to-density ratio at the center of the charged fluid sphere and boundary R of the star. Our conclusion is that static charged fluid spheres provide a good connection to compact stars.



1976 ◽  
Vol 7 (6) ◽  
pp. 493-499 ◽  
Author(s):  
A. Nduka


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