Abstract
In this paper, we investigate homogeneous cylindrically symmetric Marder’s universe in the presence of strange quark matter (SQM) source in \(f(R,T)\) gravity with cosmological constant \(\varLambda\). For this aim we have used the anisotropy feature \((\frac{\sigma_{x}^{x}}{\theta})\) of Marder type universe and equation of state (EoS) strange quark matter to obtain solutions in two classes \(f(R,T)\) gravity (Harko et al. in Phys. Rev. D 84:024020, 2011). Finally, some physical and kinematical properties are discussed.
Similar content being viewed by others
References
Adams, J., Aggarwal, M.M., Ahammed, Z., Amonett, J., Anderson, B.D., Arkhipkin, D., Averichev, G.S., Badyal, S.K., Bai, Y., Balewski, J., et al.: Nucl. Phys. A 757, 102 (2005). doi:10.1016/j.nuclphysa.2005.03.085
Adcox, K., Adler, S.S., Afanasiev, S., Aidala, C., Ajitanand, N.N., Akiba, Y., Al-Jamel, A., Alexander, J., Amirikas, R., Aoki, K., et al.: Nucl. Phys. A 757, 184 (2005). doi:10.1016/j.nuclphysa.2005.03.086
Adhav, K.S., Nimkar, A.S., Raut, V.B., Thakare, R.S.: Astrophys. Space Sci. 319, 81 (2009)
Ahmed, N., Pradhan, A.: Int. J. Theor. Phys. 53, 289 (2014). 1303.3000
Aktas, C., Yilmaz, I.: Gen. Relativ. Gravit. 39, 849 (2007). 0705.2930. doi:10.1007/s10714-007-0426-2
Anirudh, P., Khadekar, S.G., Mukesh, M.K., Saroj, K.: Chin. Phys. Lett. 24, 3013 (2007). 0705.4202. doi:10.1088/0256-307X/24/10/083
Aygün, S., Aktaş, C., Yılmaz, I.: J. Geom. Phys. 62, 100 (2012)
Aygün, S., Caglar, H., Taşer, D., Aktaş, C.: Eur. Phys. J. Plus 130, 12 (2015). doi:10.1140/epjp/i2015-15012-x
Back, B.B., Baker, M.D., Ballintijn, M., Barton, D.S., Becker, B., Betts, R.R., Bickley, A.A., Bindel, R., Budzanowski, A., Busza, W., Carroll, A., Chai, Z., Decowski, M.P., García, E., Gburek, T., George, N.K., Gulbrandsen, K., Gushue, S., Halliwell, C., Hamblen, J., Harrington, A.S., Hauer, M., Heintzelman, G.A., Henderson, C., Hofman, D.J., Hollis, R.S., Hołyński, R., Holzman, B., Iordanova, A., Johnson, E., Kane, J.L., Katzy, J., Khan, N., Kucewicz, W., Kulinich, P., Kuo, C.M., Lee, J.W., Lin, W.T., Manly, S., McLeod, D., Mignerey, A.C., Nouicer, R., Olszewski, A., Pak, R., Park, I.C., Pernegger, H., Reed, C., Remsberg, L.P., Reuter, M., Roland, C., Roland, G., Rosenberg, L., Sagerer, J., Sarin, P., Sawicki, P., Seals, H., Sedykh, I., Skulski, W., Smith, C.E., Stankiewicz, M.A., Steinberg, P., Stephans, G.S.F., Sukhanov, A., Tang, J.-L., Tonjes, M.B., Trzupek, A., Vale, C.M., van Nieuwenhuizen, G.J., Vaurynovich, S.S., Verdier, R., Veres, G.I., Wenger, E., Wolfs, F.L.H., Wosiek, B., Woźniak, K., Wuosmaa, A.H., Wysłouch, B., Zhang, J. (Phobos Collaboration): Nucl. Phys. A 757, 28 (2005). nucl-ex/0410022. doi:10.1016/j.nuclphysa.2005.03.084
Bilić, N.: Fortschr. Phys. 56, 363 (2008). 0812.5050. doi:10.1002/prop.200710507
Bodmer, A.R.: Phys. Rev. D 4, 1601 (1971)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961). doi:10.1103/PhysRev.124.925
Caglar, H., Aygün, S.: IOSR J. Math. 11, 53 (2015)
Caglar, H., Aygün, S., Aktaş, C., Taşer, D.: Balk. Phys. Lett. 22, 129 (2014)
Capozziello, S., Nojiri, S., Odintsov, S.D., Troisi, A.: Phys. Lett. B 639, 135 (2006). astro-ph/0604431. doi:10.1016/j.physletb.2006.06.034
Carroll, S.M., Duvvuri, V., Trodden, M., Turner, M.S.: Phys. Rev. D 70(4), 043528 (2004). astro-ph/0306438. doi:10.1103/PhysRevD.70.043528
Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84(2), 024020 (2011). 1104.2669
Hsu, S.D.H.: Phys. Lett. B 594, 13 (2004). hep-th/0403052. doi:10.1016/j.physletb.2004.05.020
Itoh, N.: Prog. Theor. Phys. 44, 291 (1970). doi:10.1143/PTP.44.291
Kamenshchik, A., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001). gr-qc/0103004. doi:10.1016/S0370-2693(01)00571-8
Kanakavalli, T., Ananda Rao, G.: Astrophys. Space Sci. 361(7), 1 (2016). doi:10.1007/s10509-016-2790-4
Karami, K., Ghaffari, S., Fehri, J.: Eur. Phys. J. C 64, 85 (2009). 0911.4915. doi:10.1140/epjc/s10052-009-1120-1
Katore, S.D., Hatkar, S.P.: Astrophys. Space Sci. 357, 55 (2015). doi:10.1007/s10509-015-2265-z
Khadekar, G.S., Shelote, R.: Int. J. Theor. Phys. 51, 1442 (2012). doi:10.1007/s10773-011-1020-7
Khadekar, G.S., Wanjari, R., Ozel, C.: Int. J. Theor. Phys. 48, 2550 (2009)
Kılınç, C.B.: Astrophys. Space Sci. 289, 103 (2004). doi:10.1023/B:ASTR.0000009396.57711.53
Mahanta, K.L., Biswal, S.K., Sahoo, P.K., Adhikary, M.C.: Int. J. Theor. Phys. 51, 1538 (2012). doi:10.1007/s10773-011-1031-4
Mahanta, K.L., Biswal, A.K., Sahoo, P.K.: Eur. Phys. J. Plus 129, 141 (2014). doi:10.1140/epjp/i2014-14141-0
Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 13, 149 (2004)
Momeni, D., Myrzakulov, R., Güdekli, E.: Int. J. Geom. Methods Mod. Phys. 12, 1550101 (2015). 1502.00977
Mubasher, J., Momeni, D., Ratbay, M.: Chin. Phys. Lett. 29(10), 109801 (2012). 1209.2916
Myrzakulov, R.: Eur. Phys. J. C 72, 2203 (2012). 1207.1039. doi:10.1140/epjc/s10052-012-2203-y
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R.A., Nugent, P., Castro, P.G., Deustua, S., Fabbro, S., Goobar, A., Groom, D.E., Hook, I.M., Kim, A.G., Kim, M.Y., Lee, J.C., Nunes, N.J., Pain, R., Pennypacker, C.R., Quimby, R., Lidman, C., Ellis, R.S., Irwin, M., McMahon, R.G., Ruiz-Lapuente, P., Walton, N., Schaefer, B., Boyle, B.J., Filippenko, A.V., Matheson, T., Fruchter, A.S., Panagia, N., Newberg, H.J.M., Couch, W.J., Project, T.S.C.: Astrophys. J. 517, 565 (1999). astro-ph/9812133. doi:10.1086/307221
Pradhan, A., Kumhar, S.S.: Int. J. Theor. Phys. 48, 1466 (2009). 0805.3469
Rao, V.U.M., Neelima, D.: Int. J. Theor. Phys. 52, 354 (2013a). doi:10.1007/s10773-012-1338-9
Rao, V.U.M., Neelima, D.: Eur. Phys. J. Plus 128, 35 (2013b). doi:10.1140/epjp/i2013-13035-y
Reddy, D.R.K., Anitha, S., Umadevi, S.: Eur. Phys. J. Plus 129, 96 (2014). doi:10.1140/epjp/i2014-14096-0
Riess, A.G., Filippenko, A.V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P.M., Gilliland, R.L., Hogan, C.J., Jha, S., Kirshner, R.P., Leibundgut, B., Phillips, M.M., Reiss, D., Schmidt, B.P., Schommer, R.A., Smith, R.C., Spyromilio, J., Stubbs, C., Suntzeff, N.B., Tonry, J.: Astron. J. 116, 1009 (1998). astro-ph/9805201. doi:10.1086/300499
Sáez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986). doi:10.1016/0375-9601(86)90121-0
Sahoo, P.K., Mishra, B.: J. Theor. Appl. Phys. 7, 12 (2013a). doi:10.1186/2251-7235-7-12
Sahoo, P.K., Mishra, B.: J. Theor. Appl. Phys. 7, 62 (2013b). doi:10.1186/2251-7235-7-62
Santhikumar, R., Satyannaryana, B., Reddy, D.R.K.: Int. J. Phys. Math. Sci. 5, 40 (2015)
Santos, A.F., Ferst, C.J.: Mod. Phys. Lett. A 30, 1550214 (2015). doi:10.1142/S0217732315502144
Shamir, M.F.: Eur. Phys. J. C 75, 354 (2015). doi:10.1140/epjc/s10052-015-3582-7
Sharif, M., Zubair, M.: J. Phys. Soc. Jpn. 81(11), 114005 (2012a). 1301.2251
Sharif, M., Zubair, M.: J. Cosmol. Astropart. Phys. 3, 028 (2012b). 1204.0848. doi:10.1088/1475-7516/2012/03/028
Sharif, M., Rani, S., Myrzakulov, R.: Eur. Phys. J. Plus 128, 123 (2013). 1210.2714
Singh, G.P., Bishi, B.K.: Astrophys. Space Sci. 360, 34 (2015). doi:10.1007/s10509-015-2495-0
Sofuoğlu, D.: Astrophys. Space Sci. 361, 12 (2016). doi:10.1007/s10509-015-2593-z
Sorge, F.: Phys. Rev. D 90(8), 084050 (2014)
Spergel, D.N., Verde, L., Peiris, H.V., Komatsu, E., Nolta, M.R., Bennett, C.L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S.S., Page, L., Tucker, G.S., Weiland, J.L., Wollack, E., Wright, E.L.: Astrophys. J. Suppl. Ser. 148, 175 (2003). astro-ph/0302209. doi:10.1086/377226
Witten, E.: Phys. Rev. D 30, 272 (1984)
Yavuz, I., Yilmaz, I., Baysal, H.: Int. J. Mod. Phys. D 14, 1365 (2005). hep-th/0505013. doi:10.1142/S0218271805007061
Yılmaz, İ., Baysal, H., Aktaş, C.: Gen. Relativ. Gravit. 44, 2313 (2012). doi:10.1007/s10714-012-1391-y
Acknowledgements
We thank the anonymous referee for careful reading of the manuscript and helpful comments and suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aygün, S., Aktaṣ, C. & Yılmaz, İ. Strange quark matter solutions for Marder’s universe in \(f(R,T)\) gravity with \(\varLambda\) . Astrophys Space Sci 361, 380 (2016). https://doi.org/10.1007/s10509-016-2956-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-016-2956-0