Properties of solutions in \(2+1\) dimensions. (English) Zbl 1026.83044

Summary: We solve the Einstein equations for the 2 + 1 dimensions with and without scalar fields. We calculate the entropy, Hawking temperature and the emission probabilities for these cases. We also compute the Newman-Penrose coefficients for different solutions and compare them.


83C80 Analogues of general relativity in lower dimensions
83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
Full Text: DOI arXiv


[1] Abdalla, E., Abdalla, M. C. B., and Rothe, K. D. (1991). Dimensional Quantum Field Theory (World Scientific, Singapore) · Zbl 0983.81037
[2] Zinn-Justin, J. (1993). Quantum Field Theory and Critical Phenomena, Clarendon Press, Oxford, United Kingdom. · Zbl 0865.00014
[3] Banados, M., Teitelboim, C., and Zanelli, J. · Zbl 0968.83514
[4] Banados, M., Henneaux, M., Teitelboim, C., and Zanelli,
[5] Deser, S., Jackiw, R., and Templeton,
[6] Deser, S., Jackiw, R., and ’t Hooft,
[7] Deser, S., and Jackiw,
[8] Clément, G. (199
[9] Kamara, M. and Koikawa,
[10] Cataldo, M., and Salgado, · Zbl 0983.83026
[11] Garcia, A. hep-th/9909111
[12] Fernando, S., and Mansouri, F. (1998). Co
[13] Martinez, C., Teitelboim, C., and Zanelli,
[14] Martinez, C. and Zanelli,
[15] Hennaux, M., Martinez, C., Troncoso, R., and Zanelli,
[16] Virbhadr
[17] Dias, O. J. C. and Lemo
[18] Dias, O. J. C., and Lemos, J. P
[19] Dias, O. J. C., and Lemos, J.
[20] Chan, K. C. K. and Mann, R.
[21] Chan, K. C
[22] Brown, J. D., Creighton, J., and Mann, R.
[23] Kraus, P. and Wilczek,
[24] Kraus, P. and Wilczek,
[25] Keski-Vakkuri, E. and Kraus,
[26] Newman, E. T. and Penrose, R · Zbl 0108.40905
[27] Newman, E. T. and Penrose, R
[28] Aliev, A. N. and Nutku, Y. (199 · Zbl 0839.53075
[29] Hall, G. S., Morgan, T., and Perjes, Z. · Zbl 0629.53022
[30] Dreyer, O. (2001). Penn. State PhD Dissertation, Appendix A.
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