Abstract
We studied the spherical accretion of matter by charged black holes on \(f(T)\) Gravity. Considering the accretion model of a isentropic perfect fluid we obtain the general form of the Hamiltonian and the dynamic system for the fluid. We have analysed the movements of an isothermal fluid model with \(p=\omega e\) and where \(p\) is the pressure and \(e\) the total energy density. The analysis of the cases shows the possibility of spherical accretion of fluid by black holes, revealing new phenomena as cyclical movement inside the event horizon.
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Ahmed, A.K., Ainou, M.A., Bahamonde, S., Capozziello, S., Jamil, M.: Eur. Phys. J. C 76(5), 269 (2016a). arXiv:1602.03523
Ahmed, A.M., Ainou, M.A., Faizal, M., Jamil, M.: Eur. Phys. J. C 76(5), 280 (2016b). arXiv:1512.02065
Ainou, M.A.: Eur. Phys. J. C 77, 36 (2017). arXiv:1605.06063
Aldrovandi, R., Pereira, J.G.:. Instituto de Fisica Teorica, UNSEP, Sao Paulo, 2010, www.ift.unesp.br/users/jpereira/tele.pdf
Aldrovandi, R., Pereira, J.G., Vu, K.H.: Braz. J. Phys. 34, 1374–1380 (2004). arXiv:gr-qc/0312008
Alvarenga, F.G., Houndjo, M.J.S., Monwanou, A.V., Orou, J.B.C.: J. Mod. Phys. 4, 130–139 (2013). arXiv:1205.4678
Anslyn, J.J.: (2016). arXiv:1603.09425
Anslyn, J.J., Sushant, G.G., Sunil, D.M.: Phys. Rev. D 88(10), 104005 (2013). arXiv:1310.7831
Babichev, E., Dokuchaev, V., Eroshenko, Y.: J. Exp. Theor. Phys. 100, 528–538 (2005), Zh. Eksp. Teor. Fiz., 127, 597–609 (2005). arXiv:astro-ph/0505618
Babichev, E., Chernov, S., Dokuchaev, V., Eroshenko, Y.: Phys. Rev. D 78, 104027 (2008). arXiv:0807.0449
Bahamonde, S., Jamil, M.: Eur. Phys. J. C 75, 508 (2015). arXiv:1508.07944
Bamba, K., Geng, C.Q., Nojiri, S., Odintsov, S.D.: Europhys. Lett. 89, 50003 (2010a). arXiv:0909.4397
Bamba, K., Odintsov, S.D., Sebastiani, L., Zerbini, S.: Eur. Phys. J. C 67, 295–310 (2010b). arXiv:0911.4390
Bamba, K., Geng, C., Lee, C., Luo, L.: J. Cosmol. Astropart. Phys. 1101, 021 (2011). arXiv:1011.0508
Bamba, K., Myrzakulov, R., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 85, 104036 (2012). arXiv:1202.4057
Bamba, K., Odintsov, S.D., Góme, D.S.: Phys. Rev. D 88, 084042 (2013). arXiv:1308.5789
Basilakos, S., Capozziello, S., De Laurentis, M., Paliathanasis, A., Tsamparlis, M.: Phys. Rev. D 88, 103526 (2013). arXiv:1311.2173
Bejarano, C., Ferraro, R., Guzmán, M.: Eur. Phys. J. C 75, 77 (2015). arXiv:1412.0641
Belich, H., Bernald, L.D., Gaete, P., Neto, J.A.H., Leal, F.J.L.: Eur. Phys. J. C 75, 291 (2015). arXiv:1502.06126
Bengochea, G.R.: Phys. Lett. B 695, 405–411 (2011). arXiv:1008.3188
Boehmer, C.G., Mussa, A., Tamanini, N.: Class. Quantum Gravity 28, 245020 (2011). arXiv:1107.4455
Boehmer, C.G., Harko, T., Lobo, F.S.N.: Phys. Rev. D 85, 044033 (2012). arXiv:1110.5756
Bondi, H.: Mon. Not. R. Astron. Soc. 112(195), adsabs.harvard.edu (1952)
Bonetti, L., Filho, L.R.S., Neto, J.A.H., Spallicci, A.D.A.M.: Phys. Lett. B 764, 203 (2017). arXiv:1607.08786
Bufalo, R.: Phys. Lett. B 746, 251 (2015). arXiv:1505.02483
Capozziello, S., Cardone, V.F., Farajollahi, H., Ravanpak, A.: Phys. Rev. D 84, 043527 (2011). arXiv:1108.2789
Capozziello, S., Gonzalez, P.A., Saridakis, E.N., Vasquez, Y.: J. High Energy Phys. 1302, 039 (2013). arXiv:1210.1098
Cardone, V.F., Radicella, N., Camera, S.: Phys. Rev. D 85, 124007 (2012). arXiv:1204.5294
Chattopadhyay, I., Ryu, D.: Astrophys. J. 694, 492–501 (2009). arXiv:0812.2607
Chaverra, E., Sarbach, O.: Class. Quantum Gravity 32, 155006 (2015). arXiv:1509.05116v1 [gr-qc]
Chaverra, E., Mach, P., Sarbach, O.: Class. Quantum Gravity 33, 105016 (2016). arXiv:1511.07728
Chen, S.-H., Dent, J.B., Dutta, S.: Saridakis, E.N.: Phys. Rev. D 83, 023508 (2011). arXiv:1008.1250
Clifton, T., Ferreira, P.G., Padilla, A., Skordis, C.: Phys. Rep. 513(1), 1–189 (2012). arXiv:1106.2476
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: Phys. Rev. D 73, 084007 (2006)
Daouda, M.H., Rodrigues, M.E., Houndjo, M.J.S.: Phys. Lett. B 715, 241–245 (2012). arXiv:1202.1147
Das, T.K.: Conf. Proc. C0405132, 279–304 (2004). arXiv:gr-qc/0411006
Das, T.K., Bilic, N., Dasgupta, S.: J. Cosmol. Astropart. Phys. 0706, 009 (2007). arXiv:astro-ph/0604477
Debnath, U.: Eur. Phys. J. C 75, 129 (2015). arXiv:1503.01645
Dent, J.B., Dutta, S., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 1101, 009 (2011). arXiv:1010.2215
Elizalde, E., Myrzakulov, R., Obukhov, V.V., Gómez, D.S.: Class. Quantum Gravity 27, 095007 (2010). arXiv:1001.3636
Farrugia, G., Said, J.L., Ruggiero, M.L.: Phys. Rev. D 93, 104034 (2016). arXiv:1605.07614
Felice, A., Suyama, T.: J. Cosmol. Astropart. Phys. 0906, 034 (2009a). arXiv:0904.2092
Felice, A., Suyama, T.: Phys. Rev. D 80, 083523 (2009b). arXiv:0907.5378
Felice, A., Suyama, T.: Prog. Theor. Phys. 125, 603–615 (2011). arXiv:1010.3886
Felice, A., Tanaka, T.: Prog. Theor. Phys. 124, 503–515 (2010). arXiv:1006.4399
Felice, A., Tsujikawa, S.: Phys. Lett. B 675, 1–8 (2009). arXiv:0810.5712
Felice, A., Tsujikawa, S.: Living Rev. Relativ. 13, 3 (2010). arXiv:1002.4928
Felice, A., Gérard, J.M., Suyama, T.: Phys. Rev. D 82, 063526 (2010a). arXiv:1005.1958
Felice, A., Gérard, J.M., Suyama, T.: Phys. Rev. D 81, 023532 (2010b). arXiv:0911.1811
Ferraro, R., Fiorini, F.: Phys. Rev. D 75, 084031 (2007). arXiv:gr-qc/0610067
Ferraro, R., Fiorini, F.: Phys. Lett. B 702, 75–80 (2011). arXiv:1103.0824
Flammang, R.A.: Mon. Not. R. Astron. Soc. 199, 833–867 (1982). https://doi.org/10.1093/mnras/199.4.833
Frieman, J., Turner, M., Huterer, D.: Annu. Rev. Astron. Astrophys. 46, 385–432 (2008). arXiv:0803.0982
Frolov, A.V.: Phys. Rev. D 70, 061501 (2004). arXiv:hep-th/0404216
Gonzalez, P.A., Vasquez, Y.: Phys. Rev. D 92, 124023 (2015). arXiv:1508.01174
Gonzalez, P.A., Saridakis, E.N., Vasquez, Y.: J. High Energy Phys. 1207, 053 (2012a). arXiv:1110.4024
Gonzalez, P.A., Saridakis, E.N., Vasquez, Y.: J. High Energy Phys. 1207, 053 (2012b). arXiv:1110.4024
Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D 84, 024020 (2011). arXiv:1104.2669
Harko, T., Lobo, F.S.N., Otalora, G., Saridakis, E.N.: Phys. Rev. D 89, 124036 (2014a). arXiv:1404.6212
Harko, T., Lobo, F.S.N., Otalora, G., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 12, 021 (2014b). arXiv:1405.0519
Hehl, F.W., McCrea, J.D., Mielke, E.W., Ne’eman, Y.: Phys. Rep. 258, 1–171 (1995)
Houndjo, M.J.S.: Int. J. Mod. Phys. D 21, 1250003 (2012). arXiv:1107.3887
Houndjo, M.J.S., Piattella, O.F.: Int. J. Mod. Phys. D 2, 1250024 (2012). arXiv:1111.4275
Houndjo, M.J.S., Batista, C.E.M., Campos, J.P., Piattella, O.F.: Can. J. Phys. 91(7), 548–553 (2013). arXiv:1203.6084
Houndjo, M.J.S., Rodrigues, M.E., Momeni, D., Myrzakulov, R.: Can. J. Phys. 92(12), 1528–1540 (2014). arXiv:1301.4642
Iorio, L., Saridakis, E.N.: Mon. Not. R. Astron. Soc. 427, 1555 (2012). arXiv:1203.5781
Jamil, M., Momeni, D., Raza, M., Myrzakulov, R.: Eur. Phys. J. C 72, 1999 (2012). arXiv:1107.5807
Jawad, A., Shahzad, M.U.: Eur. Phys. J. C 76, 123 (2016). arXiv:1602.05952
Junior, E.L.B., Rodrigues, M.E.: Eur. Phys. J. C 76, 376 (2016). arXiv:1509.03267
Junior, E.L.B., Rodrigues, M.E., Houndjo, M.J.S.: J. Cosmol. Astropart. Phys. 1506, 037 (2015a). arXiv:1503.07427
Junior, E.L.B., Rodrigues, M.E., Houndjo, M.J.S.: J. Cosmol. Astropart. Phys. 1510, 060 (2015b). arXiv:1503.07857
Karami, K., Abdolmaleki, A.: J. Cosmol. Astropart. Phys. 1204, 007 (2012). arXiv:1201.2511
Karami, K., Abdolmaleki, A.: Res. Astron. Astrophys. 13, 757–771 (2013). arXiv:1009.2459
Kiani, F., Nozari, K.: Phys. Lett. B 728, 554–561 (2014). arXiv:1309.1948
Kofinas, G., Saridakis, E.N.: Phys. Rev. D 90, 084045 (2014a). arXiv:1408.0107
Kofinas, G., Saridakis, E.N.: Phys. Rev. D 90, 084044 (2014b). arXiv:1404.2249
Li, M., Miao, R., Miao, Y.: J. High Energy Phys. 1107, 108 (2011a). arXiv:1105.5934
Li, B., Sotiriou, T.P., Barrow, J.D.: Phys. Rev. D 83, 064035 (2011b). arXiv:1010.1041
Mach, P.: Phys. Rev. D 91, 084016 (2015). arXiv:1503.05102
Mach, P., Malec, E., Karkowski, J.: Phys. Rev. D 88, 084056 (2013). arXiv:1309.1252
Malec, E.: Phys. Rev. D 60, 104043 (1999). arXiv:gr-qc/9710115
Maluf, J.W.: Ann. Phys. 525, 339–357 (2013). arXiv:1303.3897
Meng, X., Wang, Y.: Eur. Phys. J. C 71, 1755 (2011). arXiv:1107.0629
Miao, R., Li, M., Miao, Y.: J. Cosmol. Astropart. Phys. 1111, 033 (2011). arXiv:1107.0515
Michel, F.C.: Astrophys. Space Sci. 15, 153–160 (1972). https://doi.org/10.1007/BF00649949
Myrzakulov, R.: Eur. Phys. J. C 71, 1752 (2011). arXiv:1006.1120
Myrzakulov, R., Gómez, D.S., Tureanu, A.: Gen. Relativ. Gravit. 43, 1671–1684 (2011). arXiv:1009.0902
Nashed, G.G.L., Hanafy, W.E.: Eur. Phys. J. C 74(10), 3099 (2014). arXiv:1403.0913
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003). arXiv:hep-th/0307288
Nojiri, S., Odintsov, S.D.: Phys. Lett. B 631, 1–6 (2005). arXiv:hep-th/0508049
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Methods Mod. Phys. 4, 115–146 (2007). ECONF C0602061, 06, 2006. hep-th/0601213
Nojiri, S., Odintsov, S.D., Toporensky, A., Tretyakov, P.: Gen. Relativ. Gravit. 42, 1997–2008 (2010). arXiv:0912.2488
Nunes, R.C., Pan, S., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 1608(08), 011 (2016). arXiv:1606.04359 [gr-qc]
Nunes, R.C., Bonilla, A., Pan, S., Saridakis, E.N.: Eur. Phys. J. C 77(4), 230 (2017). arXiv:1608.01960 [gr-qc]
Peirani, S., Pacheco, J.A.F.: Phys. Rev. D 77, 064023 (2008). arXiv:0802.2041
Rezzolla, L., Zanotti, O.: Relativistic Hydrodynamics. Oxford University Press, London (2013). ISBN-10: 0198528906, ISBN-13: 978-0198528906
Rodrigues, M.E., Houndjo, M.J.S., Tossa, J., Momeni, D., Myrzakulov, R.: J. Cosmol. Astropart. Phys. 1311, 024 (2013). arXiv:1306.2280
Rodrigues, M.E., Houndjo, M.J.S., Momeni, D., Myrzakulov, R.: Can. J. Phys. 92(2), 173–176 (2014). arXiv:1212.4488
Ruggiero, M.L.: Int. J. Mod. Phys. D 25, 1650073 (2016). arXiv:1601.00588
Sadjadi, H.M.: Phys. Lett. B 718, 270–275 (2012). arXiv:1210.0937
Sharif, M., Abbas, G.: Int. J. Mod. Phys. Conf. Ser. 23, 263–267 (2013). https://doi.org/10.1142/S2010194513011422
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. 82, 451–497 (2010). arXiv:0805.1726
Sotiriou, T.P., Li, B., Barrow, J.D.: Phys. Rev. D 83, 104030 (2011). arXiv:1012.4039
Tamanini, N., Boehmer, C.G.: Phys. Rev. D 86, 044009 (2012). arXiv:1204.4593
Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)
Wang, T.: Phys. Rev. D 84, 024042 (2011). arXiv:1102.4410
Wei, H., Ma, X., Qi, H.: Phys. Lett. B 703, 74–80 (2011). arXiv:1106.0102
Wei, H., Guo, X., Wang, L.: Phys. Lett. B 707, 298–304 (2012). arXiv:1112.2270
Wu, Y., Geng, C.: Phys. Rev. D 86, 104058 (2012). arXiv:1110.3099
Wu, P., Yu, H.W.: Phys. Lett. B 692, 176–179 (2010). arXiv:1007.2348
Wu, P., Yu, H.W.: Eur. Phys. J. C 71, 1552 (2011). arXiv:1008.3669
Xu, C., Saridakis, E.N., Leon, G.: J. Cosmol. Astropart. Phys. 1207, 005 (2012). arXiv:1202.3781
Yang, R.: Europhys. Lett. 93, 60001 (2011a). arXiv:1010.1376
Yang, R.: Eur. Phys. J. C 71, 179 (2011b). arXiv:1007.3571
Zhang, Y., Li, H., Gong, Y., Zhu, Z.: J. Cosmol. Astropart. Phys. 1107, 015 (2011). arXiv:1103.0719
Zheng, R., Huang, Q.: J. Cosmol. Astropart. Phys. 1103, 002 (2011). arXiv:1010.3512
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MER thanks UFPA, Edital 04/2014 PROPESP, and CNPq, Edital MCTI/CNPQ/Universal 14/2014, for partial financial support.
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Rodrigues, M.E., Junior, E.L.B. Spherical accretion of matter by charged black holes on \(f(T)\) Gravity. Astrophys Space Sci 363, 43 (2018). https://doi.org/10.1007/s10509-018-3262-9
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DOI: https://doi.org/10.1007/s10509-018-3262-9