Gravitational collapse in spatially isotropic coordinates

详细信息    查看全文

• 作者：Megandhren Govender ; Robert Bogadi ; Ranjan Sharma…
• 关键词：Gravitational collapse ; Exact solutions ; Einstein’s field equations ; Radiating star model ; Extended irreversible thermodynamics
• 刊名：Astrophysics and Space Science
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：361
• 期：1
• 全文大小：783 KB
• 参考文献：Anile, A.M., Pavon, D., Romano, V.: arXiv:​gr-qc/​9810014 (1998)
  Barreto, W., Rodríguez, B., Rosales, L., Serrano, O.: Gen. Relativ. Gravit. 39, 23 (2007) ADS CrossRef
  Bonnor, W.B., de Oliveira, A.K.G., Santos, N.O.: Phys. Rep. 181, 269 (1989) ADS MathSciNet CrossRef
  Buchdahl, H.A.: Astrophys. J. 140, 1512 (1964) ADS MathSciNet CrossRef
  Chan, R.: Mon. Not. R. Astron. Soc. 316, 588 (2000). Astron. Astrophys. 368, 325 (2001) ADS CrossRef
  Chan, R., Herrera, L., Santos, N.O.: Mon. Not. R. Astron. Soc. 267, 637 (1994) ADS CrossRef
  Chan, R., da Silva, M.F.A., Villas da Rocha, J.F.: J. Math. Phys. D 12, 347 (2003) ADS
  Chandrasekhar, S.: Observatory 57, 373 (1934) ADS
  de Oliveira, A.K.G., Santos, N.O.: Astrophys. J. 312, 640 (1987). Mon. Not. R. Astron. Soc. 216, 1001 (1988) ADS CrossRef
  de Oliveira, A.K.G., Kolassis, C.A., Santos, N.O.: Mon. Not. R. Astron. Soc. 231, 1011 (1998) CrossRef
  Deb, R., Paul, B.C., Tikekar, R.: Pramāna 79, 211 (2012) ADS CrossRef
  Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998) ADS MathSciNet CrossRef
  Di Prisco, A., Herrera, L., Varela, V.: Gen. Relativ. Gravit. 29, 1239 (1997) ADS CrossRef
  Di Prisco, A., Herrera, L., Le Denmat, G., MacCallum, M.A.H., Santos, N.O.: Phys. Rev. D 76, 064017 (2007) ADS CrossRef
  Finch, M.R., Skea, J.E.F.: http://​www.​dft.​if.​uerj.​br/​users/​JimSkea/​papers/​pfrev (1998)
  Ghezzi, C.R.: Phys. Rev. D 72, 104017 (2005) ADS CrossRef
  Goswami, R., Joshi, P.S.: Class. Quantum Gravity 21, 3645 (2004). Class. Quantum Gravit. 19, 0129 (2002), Phys. Rev. D 69, 027502 (2004) ADS MathSciNet CrossRef
  Govender, M.: Int. J. Mod. Phys. D 22, 1350049 (2013) ADS CrossRef
  Govender, M., Govinder, K.S.: Int. J. Theor. Phys. 41, 1979 (2002) CrossRef
  Govender, M., Thirukkanesh, S.: Int. J. Theor. Phys. 48, 3558 (2009) MathSciNet CrossRef
  Govender, M., Maharaj, S.D., Maartens, R.: Class. Quantum Gravity 15, 323 (1998) ADS MathSciNet CrossRef
  Govender, M., Maartens, R., Maharaj, S.D.: Mon. Not. R. Astron. Soc. 310, 557 (1999) ADS CrossRef
  Govender, M., Reddy, K.P., Maharaj, S.D.: Int. J. Mod. Phys. D 23, 1450013 (2014) ADS CrossRef
  Govinder, K.S., Govender, M., Maartens, R.: Mon. Not. R. Astron. Soc. 299, 809 (1998) ADS CrossRef
  Herrera, L.: Int. J. Mod. Phys. D 20, 1689 (2011) ADS MathSciNet CrossRef
  Herrera, L., Barreto, W.: Int. J. Mod. Phys. D 20, 1265 (2011) ADS MathSciNet CrossRef
  Herrera, L., Santos, N.O.: Mon. Not. R. Astron. Soc. 287, 161 (1997) ADS CrossRef
  Herrera, L., Di Prisco, A., Hernández-Pastora, J.L., Santos, N.O.: Phys. Lett. A 237, 113 (1998) ADS CrossRef
  Herrera, L., Martin, J., Ospino, J.: J. Math. Phys. 43, 4889 (2002) ADS MathSciNet CrossRef
  Herrera, L., Di Prisco, A., Martin, J., Ospino, J., Santos, N.O., Troconis, O.: Phys. Rev. D 69, 084026 (2004) ADS CrossRef
  Herrera, L., Santos, N.O., Wang, A.: Phys. Rev. D 78, 084026 (2008) ADS CrossRef
  Joshi, P.S., Malafarina, D.: Int. J. Mod. Phys. D 20, 2641 (2011) ADS MathSciNet CrossRef
  Karmakar, S., Mukherjee, S., Sharma, R., Maharaj, S.D.: Pramāna 68, 881 (2007) ADS CrossRef
  Kramer, D.: J. Math. Phys. 33, 1458 (1992) ADS MathSciNet CrossRef
  Lemos, J.P.S.: Phys. Rev. D 57, 4600 (1998) ADS MathSciNet CrossRef
  Maharaj, S.D., Govender, M.: Aust. J. Phys. 50, 959 (1997) ADS
  Maharaj, S.D., Govender, M.: Pramāna 54, 715 (2000) ADS CrossRef
  Martinez, J.: Phys. Rev. D 53, 6921 (1996) ADS CrossRef
  Naidu, N.F., Govender, M., Govinder, K.S.: Int. J. Mod. Phys. D 15, 1053 (2006) ADS CrossRef
  Oppenheimer, J.R., Snyder, H.: Phys. Rev. 56, 455 (1939) ADS CrossRef
  Pant, D.N., Sah, A.: Phys. Rev. D 32, 1358 (1985) ADS CrossRef
  Patel, L.K., Singh, G.P.: Gravit. Cosmol. 7, 52 (2001)
  Pinheiro, G., Chan, R.: Gen. Relativ. Gravit. 40, 2149 (2008). Ibid. 43, 1451 (2011), Ibid. 45, 243 (2013) ADS MathSciNet CrossRef
  Santos, N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985) ADS CrossRef
  Sarwe, S., Tikekar, R.: Int. J. Mod. Phys. D 19, 1889 (2010) ADS CrossRef
  Schafer, D., Goenner, H.F.: Gen. Relativ. Gravit. 32, 2119 (2000) ADS MathSciNet CrossRef
  Shapiro, S.L., Teukolosky, S.A.: The Physics of Compact Objects. Wiley, New York (1983)
  Sharif, M., Abbas, G.: J. Phys. Soc. Jpn. 80, 104002 (2011). Astrophys. Space Sci. 335, 515 (2011) ADS CrossRef
  Sharif, M., Fatima, S.: Gen. Relativ. Gravit. 43, 127 (2011) ADS MathSciNet CrossRef
  Sharif, M., Iqbal, K.: Mod. Phys. Lett. A 24, 1533 (2009) ADS MathSciNet CrossRef
  Sharif, M., Siddiqa, A.: Mod. Phys. Lett. A 25, 2831 (2010). Gen. Relativ. Gravit. 43, 73 (2011) ADS MathSciNet CrossRef
  Sharma, R., Mukherjee, S.: Mod. Phys. Lett. A 16, 1049 (2001) ADS CrossRef
  Sharma, R., Tikekar, R.: Gen. Relativ. Gravit. 44, 2503 (2012). Pramana J. Phys. 79, 501 (2012) ADS MathSciNet CrossRef
  Sharma, R., Mukherjee, S., Maharaj, S.D.: Gen. Relativ. Gravit. 33, 999 (2001) ADS MathSciNet CrossRef
  Sharma, R., Mukherjee, S., Dey, M., Dey, J.: Mod. Phys. Lett. A 17, 827 (2002) CrossRef
  Singh, G.P., Kotambkar, S.: Pramāna 65, 35 (2005) ADS CrossRef
  Thirukkanesh, S., Govender, M.: Int. J. Mod. Phys. D 22, 1350087 (2013) ADS CrossRef
  Thirukkanesh, S., Maharaj, S.D.: Math. Methods Appl. Sci. 32, 684 (2009) ADS MathSciNet CrossRef
  Tikekar, R.: J. Math. Phys. 31, 2454 (1990) ADS MathSciNet CrossRef
  Tikekar, R., Patel, L.K.: Pramāna 39, 17 (1992) ADS CrossRef
  Vaidya, P.C.: Nature 171, 260 (1953) ADS MathSciNet CrossRef
  
• 作者单位：Megandhren Govender (1)
  Robert Bogadi (2)
  Ranjan Sharma (3)
  Shyam Das (3)
  
  1. Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, Durban, 4000, South Africa
  2. Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu Natal, Durban, 4041, South Africa
  3. Department of Physics, P. D. Women’s College, Jalpaiguri, 735101, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Astronomy
  
• 出版者：Springer Netherlands
• ISSN：1572-946X

文摘

We investigate the dynamical nature of the collapse process of a spherically symmetric star undergoing dissipative collapse. The star collapses from an initial static configuration by dissipating energy in the form of a radial heat flux. The perturbation in the density and pressure profiles are such that the star is always close to hydrostatic equilibrium. The temperature profiles are studied using a causal heat transport equation.