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Open Access Research Article

Bianchi type-III cosmic strings and domain walls in f(r, t) gravity

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pp. 85–99Vol. 21Issue 2November 2023DOI: 10.47974/JDSGT-21-2-P04XML
Published Online:
16 Jan 2024
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-21-2-P04
Pages:
85–99

Abstract

In this paper, we have considered Bianchi type-III space time in the presence of cosmic strings and domain walls within the framework of f(R, T) gravity formulated by Harko et al. (Phys. Rev. D, 84: 024020, 2011). To obtain the exact solution of the corresponding cosmological model, we assume the condition that the shear scalar is directly proportional to the scalar expansion of the space-time and special law of variation for Hubble’s parameter proposed by Berman (Nuovo Ciment B, 74:182, 1983). Some physical and kinematical properties of the models are also discussed.

Keywords

Subject Classifications

54H20

References

[1] Adhav K. S., LRS Bianchi type-I cosmological model in f( R, T) theory of gravity, Astrophysics Space Science, Vol. 339, 365 (2012).
[2] Adhav K. S., Nimkar A. S. and Naidu R. L., Axially symmetric non-static domain walls in scalar-tensor theories of gravitation, Astrophysics Space Science, Vol. 312, 165 (2007).
[3] Bennett C. L., et al., First-Year Wilkinson Microwave Anisotropy Probe (WMAP)1 Observations: Preliminary Maps and Basic Results, The Astrophysical Journal, Vol. 148, 1 (2003).
[4] Berman M. S., A Special Law of Variation for Hubbles Parameter, Nuovo Cimento B, Vol. 74, 182 (1983).
[5] Collins C. B., Glass E. N. and Wilkinson D. A., Exact spatially homogenous cosmologies, General Relativity and Gravitation, Vol. 12, 805 (1980).
[6] Dagwal V. J. and Pawar D. D., Cosmological models with EoS parameters in f(T) theory of gravity, Indian Journal of Physics, (2020).
[7] Dagwal V. J. and Pawar D. D., Tilted cosmological models in f(T) theory of gravity, Indian Journal of Physics, (2020).
[8] Dagwal V. J. and Pawar D. D., Two- uid sources in F(T) theory of gravity, Modern Physics Letters A, Vol. 35, Number 04, 1950357 (2020).
[9] Dagwal V. J., Mesonic tilted cosmological model with wet dark  uid in F(T) theory of gravity, Canadian Journal of Physics, Vol. 98, Number 7, 636 (2020).
[10] Dagwal V. J., Pawar D. D. and Solanke Y.S., Study of cosmic models in f(R,T) gravity with tilted observers, Modern Physics Letters A, Vol. 35, Number 38, 2050316 (2020).
[11] Einstein D. J., et al., (SDDS Collaboration), Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies, The Astrophysical Journal, Vol. 633, 500 (2005).
[12] Goetz G., Gravitational  eld of plane symmetric thick domain walls, Journal of Mathematical Physics, Vol. 31, 2683 (1990).

[13] Gott J.R., Gravitational lensing effects of vacuum strings - Exact solutions, The Astrophysical Journal, Vol. 288, 422 (1985).
[14] Harko T., Lobo F. S. N., Nojiri S. and Odintsov S.D., f(R,T) gravity, Physical Review D, Vol. 84, 024020 (2011).
[15] Hillet C. T., Schram D. N. and Fra J. N., Nuclear and Particle Physics, Vol. 19, 25 (1989).
[16] Isper J. and Sikivie P., Cosmological structure formation from soft topological defect, Physical Review D, Vol. 30, 712 (1984).
[17] Letelier P.S., String cosmologies, Physical Review D, Vol. 28, 2414 (1983).
[18] Mukherji M.,Gravitational  elds of cosmic membranes, Classical and Quantum Gravity, Vol. 10, Number 1, 131 (1993).
[19] Naidu R. L., Reddy D. R. K., Ramprasad T. and Ramana K. V., Bianchi type-V bulk viscous string cosmological model in f( R, T) gravity, Astrophysics and Space Science, Vol. 348, 247 (2013).
[20] Pawar D. D. and Solanke Y.S., Cosmological models  lled with a perfect  uid source in the f(R,T) theory of gravity, Turkish Journal of Physics, Vol. 39, 54 (2015).
[21] Perlmutter S., et al., Measurements of and from 42 high-red shift supernovae, The Astro-physical Journal, Vol. 517, Number 2, 565 (1999).
[22] Pradhan A. R., Singh R. J. P. and Shahi J. P., Cylindrically Symmetric String Cosmological Models of Perfect Fluid Distribution with Electromagnetic Field, Electronic Journal of Theoretical Physics, Vol. 7, Number 23, 197 (2010).
[23] Rahaman F., Chakraborthy S. and Kalam M., Domain Wall in Lyra Geometry, International Journal of Modern Physics D, Vol. 10, Number 5, 735 (2001).
[24] Ram S. and Chandel S., Dynamics of magnetized string cosmological model in f(R, T) gravity theory, Astrophysics and Space Science, Vol. 355, 202 (2015).
[25] Reddy D. R. K. and Naidu R. L., Cosmic Strings and Domain Walls in a Scale- Covariant Theory of Gravitation, International Journal of Theoretical Physics, Vol. 46, 2788 (2007).
[26] Reddy D.R.K., Plane Symmetric Cosmic Strings in Lyra Manifold, Astrophysics and Space Science, Vol. 300, 381 (2005).
[27] Reiss A., et al., Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant, The Astronomical Journal, Vol. 116, Number 3, 1009 (1998).
[28] Santhi M. V., Rao V. U. M., Rani N. S. and Sireesha K. V. S., Interacting LRS Bianchi Type-I Cosmological Model in f(R, T) Gravity with Modi ed Chaplygin Gas, Prespace time Journal, Vol. 7, 547 (2016).
[29] Satchel J., Thickening the string. I. The string perfect dust, Physical Review D, Vol. 21, 2171 (1980).
[30] Shaoo P. K., LRS Bianchi type-I string cosmological model in f(R,T) gravity, Fortschritte der Physik, Vol. 64, 414 (2016).
[31] Singh J. K. and Sharma N. K., Bianchi Type-II Dark Energy Model in f (R,T ) Gravity, International Journal of Theoretical Physics, Vol. 53, 1424 (2014).
[32] Solanke Y.S., Pawar D. D. and Dagwal V. J., Accelerating dark energy universe with LRS bianchi type-I space time, International Journal of Geometric Method in Modern Physics, (2020).
[33] Spergel S., et al., First-Year Wilkinson Microwave Anisotropy Probe (WMAP)1 Observations: Determination of Cosmological Parameters, The Astrophysical Journal, Vol. 148, Number 1, 175 (2003).
[34] Spergel S., et al., Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology, The Astrophysical Journal, Vol. 170, 377 (2007).
[35] Tegmark M., et al., The Three-Dimensional Power Spectrum of Galaxies from the Sloan Digital Sky Survey, The Astrophysical Journal, Vol. 606, Number 2, 702 (2004).
[36] Venkateswarlu R. and Sreenivas K., Axially Symmetric Domain Walls & Cosmic Strings in Modified Theory of Gravitation, Prespace time Journal, Vol. 4, 395 (2013).
[37] Venkateswarlu R., The African Review of Physics 8:0038 (2013).
[38] Vilenkin A., Gravitational  eld of vacuum domain walls and strings, Physical Review D, Vol. 23, 852 (1981).
[39] Vilenkin A., Gravitational Field of Vacuum Domain Walls, Physics Letters B, Vol. 133, 177 (1983).
[40] Wang A., Gravitational Collapse of Thick DomainWalls: An Analytic Model, Modern Physics Letters A, Vol. 9, Number 39, 3605 (1994).
[41] Widrow L.M., General-relativistic domain walls, Physical Review D, Vol. 39, 3571 (1989).

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