Herrera, L.; Di Prisco, A.; Barreto, W.; Ospino, J. Conformally flat polytropes for anisotropic matter. (English) Zbl 1308.83041 Gen. Relativ. Gravitation 46, No. 12, Article ID 1827, 16 p. (2014). Summary: We analyze in detail conformally flat spherically symmetric fluid distributions, satisfying a polytropic equation of state. Among the two possible families of relativistic polytropes, only one contains models which satisfy all the required physical conditions. The ensuing configurations are necessarily anisotropic and show interesting physical properties. Prospective applications of the presented models to the study of super-Chandrasekhar white dwarfs, are discussed. Cited in 17 Documents MSC: 83C15 Exact solutions to problems in general relativity and gravitational theory 83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 85A15 Galactic and stellar structure Keywords:relativistic polytropes; anisotropic fluids; stellar models PDFBibTeX XMLCite \textit{L. Herrera} et al., Gen. Relativ. Gravitation 46, No. 12, Article ID 1827, 16 p. (2014; Zbl 1308.83041) Full Text: DOI arXiv References: [1] Herrera, L.; Barreto, W., No article title, Phys. Rev. D, 87, 087303 (2013) · doi:10.1103/PhysRevD.87.087303 [2] Herrera, L.; Barreto, W., No article title, Phys. Rev. D, 88, 084022 (2013) · doi:10.1103/PhysRevD.88.084022 [3] Cosenza, M.; Herrera, L.; Esculpi, M.; Witten, L., No article title, J. Math. Phys., 22, 118 (1981) · Zbl 0483.70003 · doi:10.1063/1.524742 [4] Eardley, DM; Smarr, L., No article title, Phys. Rev. D, 19, 2239 (1979) · doi:10.1103/PhysRevD.19.2239 [5] Christodoulou, D., No article title, Commun. Math. Phys., 93, 171 (1984) · doi:10.1007/BF01223743 [6] Newman, RPAC, No article title, Class. Quantum Gravity, 3, 527 (1986) · Zbl 0587.53063 · doi:10.1088/0264-9381/3/4/007 [7] Waugh, B.; Lake, K., No article title, Phys. Rev. D, 38, 1315 (1988) · doi:10.1103/PhysRevD.38.1315 [8] Herrera, L.; Prisco, A.; Hernández-Pastora, J.; Santos, NO, No article title, Phys. Lett. A, 237, 113 (1998) · doi:10.1016/S0375-9601(97)00874-8 [9] Mena, F.; Tavakol, R., No article title, Class. Quantum Gravity, 16, 435 (1999) · Zbl 0942.83035 · doi:10.1088/0264-9381/16/2/009 [10] Bondi, H., No article title, Mon. Not. R. Astron. Soc, 262, 1088 (1993) · doi:10.1093/mnras/262.4.1088 [11] Barreto, W., No article title, Astrophys. Space Sci., 201, 191 (1993) · Zbl 0778.76103 · doi:10.1007/BF00627193 [12] Coley, A.; Tupper, B., No article title, Class. Quantum Gravity, 11, 2553 (1994) · Zbl 0967.83509 · doi:10.1088/0264-9381/11/10/015 [13] Sharma, R.; Tikekar, R., No article title, Gen. Relativ. Gravit., 44, 2503 (2012) · Zbl 1255.83091 · doi:10.1007/s10714-012-1406-8 [14] Herrera, L.; Santos, NO, No article title, Gen. Relativ. Gravit., 27, 1071 (1995) · Zbl 0833.53062 · doi:10.1007/BF02148648 [15] Herrera, L., Di Prisco, A., Ospino, J., Fuenmayor, E.: J. Math. Phys 42, 2129 (2001) [16] Tolman, RC, No article title, Phys. Rev., 35, 875 (1930) · JFM 56.0743.05 · doi:10.1103/PhysRev.35.875 [17] Bondi, H., No article title, Proc. R. Soc. Lond., A259, 365 (1992) [18] Ivanov, BI, No article title, Phys. Rev. D, 65, 104011 (2002) · doi:10.1103/PhysRevD.65.104011 [19] Heinzle, JM; Röhr, N.; Uggla, C., No article title, Class. Quantum Gravity, 20, 4567 (2003) · Zbl 1053.83013 · doi:10.1088/0264-9381/20/21/004 [20] Böhmer, CG; Harko, T., No article title, Class. Quantum Gravity, 23, 6479 (2006) · Zbl 1117.83058 · doi:10.1088/0264-9381/23/22/023 [21] Karmakar, S.; Mukherjee, S.; Sharma, R.; Maharaj, SD, No article title, Pramana J. Phys., 68, 881 (2007) · doi:10.1007/s12043-007-0088-3 [22] Karageorgis, P.; Stalker, JG, No article title, Class. Quantum Gravity, 25, 195021 (2008) · Zbl 1151.83016 · doi:10.1088/0264-9381/25/19/195021 [23] Andreasson, H., No article title, J. Differ. Equ., 245, 2243 (2008) · Zbl 1151.83014 · doi:10.1016/j.jde.2008.05.010 [24] Florides, PS, No article title, Proc. R. Soc. Lond., A337, 529 (1974) · doi:10.1098/rspa.1974.0065 [25] Bowers, R.; Liang, E., No article title, Astrophys. J., 188, 657 (1974) · doi:10.1086/152760 [26] Herrera, L.; Ruggeri, GJ; Witten, L., No article title, Astrophys. J., 234, 1094 (1979) · doi:10.1086/157592 [27] Herrera, L., No article title, Phys. Lett. A, 165, 206 (1992) · doi:10.1016/0375-9601(92)90036-L [28] Mimoso, JP; Delliou, M.; Mena, FC, No article title, Phys. Rev. D, 88, 043501 (2013) · doi:10.1103/PhysRevD.88.043501 [29] Herrera, L.; Ponce de León, J., No article title, J. Math. Phys., 26, 2018 (1985) · doi:10.1063/1.526872 [30] Howell, DA; etal., No article title, Nature, 443, 308 (2006) · doi:10.1038/nature05103 [31] Scalzo, RA; etal., No article title, Astrophys. J., 713, 1073 (2010) · doi:10.1088/0004-637X/713/2/1073 [32] Hicken, M.; etal., No article title, Astrophys. J., 669, l17 (2007) · doi:10.1086/523301 [33] Yamanaka, M.; etal., No article title, Astrophys. J., 707, l118 (2009) · doi:10.1088/0004-637X/707/2/L118 [34] Silverman, JM; etal., No article title, Mon. Not. R. Astron. Soc., 410, 585 (2011) · doi:10.1111/j.1365-2966.2010.17474.x [35] Taubenberger, S.; etal., No article title, Mon. Not. R. Astron. Soc., 412, 2735 (2011) · doi:10.1111/j.1365-2966.2010.18107.x [36] Das, U.; Mukhopadhyay, B., No article title, Phys. Rev. D, 86, 042001 (2012) · doi:10.1103/PhysRevD.86.042001 [37] Das, U.; Mukhopadhyay, B., No article title, Phys. Rev. Lett., 110, 071102 (2012) · doi:10.1103/PhysRevLett.110.071102 [38] Das, U.; Mukhopadhyay, B., No article title, Int. J. Mod. Phys. D, 21, 1242001 (2012) · Zbl 1266.85001 · doi:10.1142/S0218271812420011 [39] Kundu, A.; Mukhopadhyay, B., No article title, Mod. Phys. Lett. A, 27, 1250084 (2012) · Zbl 1260.85060 · doi:10.1142/S0217732312500848 [40] Das, U.; Mukhopadhyay, B.; Rao, AR, No article title, Astrophys. J., 767, l14 (2013) · doi:10.1088/2041-8205/767/1/L14 [41] Das, U.; Mukhopadhyay, B., No article title, Int. J. Mod. Phys. D, 22, 1342004 (2013) · doi:10.1142/S0218271813420042 [42] Das, U.; Mukhopadhyay, B., No article title, Mod. Phys. Lett. A, 29, 1450035 (2014) · doi:10.1142/S0217732314500357 [43] Liu, H.; Zhang, X.; Wen, D., No article title, Phys. Rev. D, 89, 104043 (2014) · doi:10.1103/PhysRevD.89.104043 [44] Chaichian, M.; Masood, SS; Montonen, C.; Perez Martinez, A.; Perez Rojas, H., No article title, Phys. Rev. Lett., 84, 5261 (2000) · doi:10.1103/PhysRevLett.84.5261 [45] Perez Martinez, A.; Perez Rojas, H.; Mosquera Cuesta, HJ, No article title, Eur. Phys. J. C, 29, 111 (2003) · doi:10.1140/epjc/s2003-01192-6 [46] Perez Martinez, A.; Perez Rojas, H.; Mosquera Cuesta, HJ, No article title, Int. J. Mod. Phys. D, 17, 2107 (2008) · Zbl 1181.85038 · doi:10.1142/S0218271808013741 [47] Ferrer, EJ; Incera, V.; Keith, JP; Portillo, I.; Springsteen, PL, No article title, Phys. Rev. C, 82, 065802 (2010) · doi:10.1103/PhysRevC.82.065802 [48] Adam, D., No article title, Astron. Astrophys., 160, 95 (1986) · Zbl 0592.76191 [49] Cheoun, MK; etal., No article title, JCAP, 10, 021 (2013) · doi:10.1088/1475-7516/2013/10/021 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.