On the most general accurate solutions for Buchdahl's fluid spheres |
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| Authors: | YK Gupta MK Jasim |
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| Institution: | (1) Department of Mathematics, I.I.T., Roorkee, 247667 (UTTRANCHAL), India |
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| Abstract: | The most general accurate solutions for the Buchdhal fluid sphere were obtained and matched with the Schwarzchild's exterior
solution at the pressure free interface. Various parameters of the solutions were so adjusted that the energy density, pressure
and temperature were positive and decreasing away from the centre, and the velocity of sound was less than unity throughout
the spheroid model. Using this procedure, the maximum mass of the fluid sphere with a surface density of2 × 1014gm cm-3 was determined to be 3.82MΘ and 4.57 MΘ for strong and weak energy conditions respectively. PACS number: 0402, 0402J, 0440D,
95301
This revised version was published online in July 2006 with corrections to the Cover Date. |
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