A study of massive classical polytropes in general relativity |
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| Authors: | S C Pandey M C Durgapal A K Pande |
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| Institution: | (1) Department of Physics, Kumaun University, Nainital, India |
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| Abstract: | A detailed study of classical polytropes in general relativity has been presented for  O ( (dP/dE)O) 1.0 and  O((P/E
O)O. The behaviour of various structural parameters with O/O, O and O are the values ofP/E and dP/dE at the centre) has been studied. The most important result of this study is the fact the qualitative behaviour of all the structural parameters depends only on the value of µO for the various assigned O values. The maximum value of surface red shift occurs when µO=0.6 and for O=1.0 it equals 0.618. These structures are gravitationally bound for µO0.8 and most so for µO=0.4. The maximum value of binding coefficient comes out to be 0.181 when O=1.0. These structures have been used to model neutron stars. The maximum mass of neutron star based upon such a model comes out to be 2.55M
 (for µO=0.4 and O=1.0) and maximum size comes out to be 15.0 km (for µO=0.2 and O=1.0). It is also seen that the structures are pulsationally stable for µ0.6. |
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