Black Holes with Anisotropic Fluid in Lyra Scalar-Tensor Theory

Year 2018, Volume: 22 Issue: 1, 38 - 44, 05.02.2018

Melis Ulu Doğru Murat Demirtaş

https://doi.org/10.19113/sdufbed.38844

Cited By: 1

Abstract

In this paper, we investigate distribution of anisotropic fluid which is a resource of black holes in regard to Lyra scalar-tensor theory. As part of the theory, we obtain field equations of spherically symmetric space-time with anisotropic fluid. By using field equations, we suggest distribution of anisotropic fluid, responsible for space-time geometries such as Schwarzschild, Reissner-Nordström, Minkowski type, de Sitter type, Anti-de Sitter type, BTZ and charged BTZ black holes. Finally, we discuss obtained pressures and density of the fluid for different values of arbitrary constants, geometrically and physically.

Keywords

Lyra scalar-tensor theory, Black hole; Anisotropic fluid

References

• [1] Weyl, H. 1918. Gravitation und Elektrizitat. Sitzungesber Deutsch. Akad. Wiss., 1(1918), 465-478.
• [2] Weyl, H. 1952. Gravitation and Electricity. The Principle of Relativity. Dover Books on Physics, 1(1952), 200-216.
• [3] Lyra, G. 1951. Übereine Modifikation der Rieamannschen Geometrie. Mathematische Zeitschrift, 54(1951), 52-64.
• [4] Sen, D. K. 1957. A Static Cosmological Model, Zeitschrift für Physik, 149(1957), 311-323.
• [5] Sen, D. K., Dunn, K. A. 1971. A Scalar-Tensor Theory of Gravitation in a Modified Riemannian Manifold. Journal of Mathematical Physics, 12(1971), 578-586.
• [6] Sharif, H., Kausar, H. R. 2011. Anisotropic fluid and Bianchi type III model in f(R) gravity. Physics Letters B, 697(2011), 1-6.
• [7] Salart, D., Baas, A., Branciard, C., Gisin, N., Zbinden, H. 2008. Testing the Speed of `Spooky Action at a Distance'. Nature, 454(2008), 861-864.
• [8] Yin, Y. J., Cao, H., Yong, J., Ren, H., Liang, S., Liao, F., Zhou, C., Liu, Y., Wu, G., Pan, Q., Zhang, C., Peng, C., Pan, J. 2013. Lower Bound on the Speed of Nonlocal Correlations without Locality and Measurement Choice Loopholes. Physical Review Letters, 110(2013), 260407.
• [9] Faraoni, V. 2004. Cosmology in Scalar-Tensor Gravity. 1st edition. Kluwer Academic Publishers, Dordrecht, 265s.
• [10] Rahaman, F., Gosh, A., Kalam M. 2006. Lyra black holes. Nuovo Cimento B, 121(2006), 649-659.
• [11] Bhamra K. S. 1974. A Cosmological Model of Class One in Lyra’s Manifold. Australian Journal of Physics, 27(1974), 541-547.
• [12] Reddy D. R. K., Venkateswarlu R. 1987. Birkhoff-type theorem in the scale-covariant theory of gravitation. Astrophysics Space Science, 136(1987), 183-186.
• [13] Rahaman, F., Chakraborty, S., Begum, N., Hossain, M., Kalam, M. 2002. A study of four and higher-dimensional cosmological models in Lyra geometry. Fizika B, 11(2002), 57-62.
• [14] Rahaman F., 2003. A study of global monopoles in higher dimensional space times. Astrophysics Space Science, 283(2003), 33-42.
• [15] Rahaman F., Mondal R. 2007. Non Static Global Monopole in Lyra Geometry. Fizika B, 16 (2007), 223-230.
• [16] Schwarzschild, K. 1916. Uber das Gravitationsfeld eines Massenpunktes nach der Einsteinschen Theorie (On the gravitational field of a mass point according to Einstein’s theory), Sitzungsber. Preuss. Akad. Wiss., Berlin, 196s.
• [17] Zel’dovich, Ya. B. 1972. A hypothesis, unifying the structure and the entropy of the Universe. Monthly Notices of the Royal Astronomical Society. 160(1972), 1-3.
• [18] Zel’dovich, Ya. B. 1962. The Equation of State at Ultrahigh Densities and Its Relativistic Limitations. JETP, 14(1962) 1143-1147.
• [19] Reissner, H. 1916. Über die Eigengravitation des elektrischen Feldes nach der Einsteinschen Theorie. Annalen der Physik, 355(1916), 106-120.
• [20] Nordström, G. 1918, On the Energy of the Gravitational Field in Einstein’s Theory, Verhandl. Koninkl. Ned. Akad. Wetenschap., Afdel. Natuurk., 20(1918), 1238-1245.
• [21] Cognola, G., Elizalde, E., Zerbini, S. 2004. One-loop effective potential from higher-dimensional AdS black holes. Physics Letters B, 585(2004), 155-162.
• [22] Hendi, S. H. 2008. Rotating Black Branes in Brans-Dicke-Born-Infeld Theory. Journal of Mathematical Physics, 49(2008), 082501-082508.
• [23] Hendi, S. H. 2009. Topological black holes in Gauss-Bonnet gravity with conformally invariant Maxwell source. Physics Letters B, 677(2009), 123-132.
• [24] Demirtaş, M. 2014. The investigation of some matter forms in Lyra Geometry, Çanakkale Onsekiz Mart University, Graduate School of Naturel and Applied Sciences, Thesis Master of Science, 30s, Çanakkale.