Compact star in pseudo-spheroidal spacetime
| Autor: | Shee, D., Ghosh, S., Rahaman, F., Guha, B. K., Ray, Saibal |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Astrophys Space Sci (2017) 362:114 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10509-017-3089-9 |
| Popis: | We investigate perfect fluid stars in $(2+1)$ dimension in pseudo spheroidal spacetime with the help of Vaidya-Tikekar metric where the physical $3$-space ($t=$ constant) is described by pseudo-spheroidal geometry. Here the spheroidicity parameter $a$, plays an important role for determining the properties of a compact star. In the present work a class of interior solutions corresponding to the Ba$\tilde{n}$ados-Teitelboim-Zanelli $(BTZ)$ (Ba\~nados et al., Phys. Rev. Lett. 69:1849, 1992) exterior metric has been provided which describes a static circularly symmetric star with negative cosmological constant in equilibrium. It is shown that asymptotically anti-de Sitter $(2+1)$ dimensional spacetime described by BTZ admits a compact star solution with reasonable physical features. Comment: 10 pages, 9 figures |
| Databáze: | arXiv |
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