科研之友
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摘要
We have explored a family of new solutions satisfying Einstein's field equations and Karmarkar condition. We have assumed an anisotropic stress-tensor with no net electric charge. Interestingly, the new solutions yield zero values of all the physical quantities for all even integer n > 0. However, for all n > 0 ( n not equal even numbers) they yield physically possible solutions. We have tuned the solution for neutron star Vela X-1 so that the solutions matches the observed mass and radius. For the same star we have extensively discussed the behavior of the solutions. The solutions yield a stiffer equation of state for larger values of n since the adiabatic index increases and speed of sound approaches the speed of light. It is also found that the solution is physically possible for Vela X-1 if 1.8 <= n < 7 ( with n not equal 2, 4, 6). All the solutions for n = 7 violates the causality condition and all the solutions with 0 < n < 1.8 lead to complex values of transverse sound speed nu(t). The range of well-behaved n depends on the mass and radius of compact stars.
- 出版日期2018-5-15
