Abstract
We present a class of new relativistic solutions with anisotropic fluid for compact stars in hydrostatic equilibrium. The interior space-time geometry considered here for compact objects are described by parameters namely, λ, k, A, R and n. The values of the geometrical parameters are determined here for obtaining a class of physically viable stellar models. The energy-density, radial pressure and tangential pressure are finite and positive inside the anisotropic stars. Considering some stars of known mass we present stellar models which describe compact astrophysical objects with nuclear density.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bayin, S.S.: Phys. Rev. D 26, 6 (1982)
Bombaci, I.: Phys. Rev. C 55, 1587 (1997)
Bower, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974)
Canuto, V.: Annu. Rev. Astron. Astrophys. 12, 167 (1974)
Chattopadhyay, P.K., Deb, R., Paul, B.C.: Int. J. Mod. Phys. D 21, 1250071 (2012)
Deb, R., Paul, B.C., Tikekar, R.: Pramana J. Phys. 79, 211 (2012)
Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)
Dey, M., Bombaci, I., Dey, J., Ray, S., Samanta, B.C.: Phys. Lett. B 438, 123 (1999). Addendum: 447, 352 (1999); Erratum: 467, 303 (1999)
Finch, M.R., Skea, J.E.K.: Class. Quantum Gravity 6, 46 (1989)
Gupta, Y.K., Jassim, M.K.: Astrophys. Space Sci. 272, 403 (2000)
Ivanov, B.V.: Phys. Rev. D 65, 104011 (2002)
Jotania, K., Tikekar, R.: Int. J. Mod. Phys. D 15, 1175 (2006)
Kippenhahm, R., Weigert, A.: Stellar Structure and Evolution. Springer, Berlin (1990)
Knutsen, H.: Mon. Not. R. Astron. Soc. 232, 163 (1988)
Lattimer, J.: http://stellarcollapse.org/nsmasses (2010)
Li, X.D., Bombaci, I., Dey, M., Dey, J.: Phys. Rev. Lett. 83, 3776 (1999)
Maharaj, S.D., Leach, P.G.L.: J. Math. Phys. 37, 430 (1996)
Maharaj, S.D., Maartens, R.: Gen. Relativ. Gravit. 21, 899 (1989)
Maharaj, S.D., Takisa, M.: Gen. Relativ. Gravit. 44, 1439 (2012)
Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 13, 149 (2004)
Mukherjee, S., Paul, B.C., Dadhich, N.: Class. Quantum Gravity 14, 3474 (1997)
Narlikar, J.V.: Introduction to Relativity. Cambridge University Press, Cambridge (2010)
Negi, P.S., Durgapal, M.S.: Gen. Relativ. Gravit. 31, 13 (1999)
Pant, D., Sah, A.: Phys. Rev. D 32, 1358 (1985)
Patel, L.K., Tikekar, R., Sabu, M.C.: Gen. Relativ. Gravit. 29, 489 (1997)
Ruderman, R.: Astron. Astrophys. 10, 427 (1972)
Shapiro, S.L., Teukolosky, S.A.: Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects. Wiley, New York (1983)
Sharma, R., Maharaj, S.D.: Mon. Not. R. Astron. Soc. 375, 1265 (2007)
Steiner, A.W., Lattimer, J.M., Brown, E.F.: Astrophys. J. 722, 33 (2010)
Tikekar, R.: J. Math. Phys. 31, 2454 (1990)
Tikekar, R., Jotania, K.: Int. J. Mod. Phys. D 14, 1037 (2005)
Tikekar, R., Thomas, V.O.: Pramana J. Phys. 50, 95 (1998)
Vaidya, P.C., Tikekar, R.: J. Astrophys. Astron. 3, 325 (1982)
Acknowledgements
BCP would like to acknowledge TWAS-UNESCO for supporting a visit to Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing where the work is completed. BCP would like to thank University Grants Commission, New Delhi for financial support (Grant no. F.42-783/2013(SR)). RD is also thankful to UGC, New Delhi and Physics Department, North Bengal University for providing research facilities. The authors would like to thank the referee for constructive suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Paul, B.C., Deb, R. Relativistic solutions of anisotropic compact objects. Astrophys Space Sci 354, 421–430 (2014). https://doi.org/10.1007/s10509-014-2097-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-014-2097-2