TWO STATIC FLUID DARK MATTER MODEL WITH ADDITIONAL COSMOLOGICAL CONSTANT

Authors

  • Izrul Supriyadi Program Studi Fisika FMIPA UNJ, Jl. Pemuda No 10, Jakarta 13220
  • Widya Sawitar Planetarium dan Observatorium Jakarta, Jl. Cikini Raya 73, Jakarta 10330
  • Esmar Budi Program Studi Fisika FMIPA UNJ, Jl. Pemuda No 10, Jakarta 13220
  • Riser Fahdiran Program Studi Fisika FMIPA UNJ, Jl. Pemuda No 10, Jakarta 13220

DOI:

https://doi.org/10.21009/SPEKTRA.032.07

Keywords:

konstanta kosmologi, anisotropik, potensial efektif, kecepatan tangensial, cosmological constant, anisotropic, effective potential, tangential velocity

Abstract

Abstrak

Pada persamaan medan gravitasi Einstein terdapat konstanta kosmologi sebagai konstanta alam yang menjelaskan model mengembangnya alam semesta dan yang paling dominan terdapat di jagad raya ini adalah dalam bentuk energi gelap (dark energy). Kami meninjau model objek dua fluida tidak terkopel, seperti layaknya materi gelap (dark matter) atau bintang yang memiliki karakteristik tensor energi-momentum dan kecepatan-4 nya yang berbeda serta bersifat anisotropik, kemudian disatukan sebagai model dua fluida untuk ditinjau persamaan TOV (Tolman-Oppenheimer-Volkoff) dan persamaan geodesiknya dalam menunjukkan sifat gerak dan model dua fluida tersebut. Hasil perhitungan menunjukkan bahwa model ini dapat menjelaskan persamaan potensial efektif dengan tambahan konstanta kosmologi sebagai karakteristik gerak dan kecepatan tangensial partikel uji dalam orbit lingkaran stabil.

Kata-kata kunci: konstanta kosmologi, anisotropik, potensial efektif, kecepatan tangensial.

Abstract

In Einstein's gravitational field equation has been found the cosmological constant as the natural constant that describes the universe's expansion model and the most dominant in the universe is the dark energy form. We review the two objects of fluid models are not coupled, like dark matter or stars which has the different characteristic energy-momentum tensor and four velocities and anisotropic tend, then combined as two-fluid models for TOV (Tolman-Oppenheimer-Volkoff) equation and the geodesic equation to characterize the movement and the two fluid models. The calculation result shows that this model can explain the potential equation with an addition of an effective cosmological constant as the movement characteristic and tangential velocity of a tested particle in a stable circular orbit.

Keywords: cosmological constant, anisotropic, effective potential, tangential velocity.

References

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[3] S. Weinberg, “Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity,” Cambridge University, John Wiley & Sons, Inc, 1971.

[4] S. M. Carroll, “An Introduction to General Relativity: Spacetime and Geometry,” Addison Wesley, University of Chicago, 2003.

[5] P. S. Letelier, Phys. Rev. D., vol. 22, pp. 807, 1980; P. S. Letelierand P. S. C. Alencar, Phys. Rev. D., vol. 34, pp 343, 1986.

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[7] F. Kamiab and N. Afshordi, “Neutron Stars and the Cosmological Constant Problem,” Phys. Rev. D., vol. 84, 2011.

[8] S. M. Carroll, “The Cosmological Constant,” LivingRev. Rel., vol. 4, no. 1, 2001.

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Published

2018-08-30

How to Cite

Supriyadi, I., Sawitar, W., Budi, E., & Fahdiran, R. (2018). TWO STATIC FLUID DARK MATTER MODEL WITH ADDITIONAL COSMOLOGICAL CONSTANT. Spektra: Jurnal Fisika Dan Aplikasinya, 3(2), 127–132. https://doi.org/10.21009/SPEKTRA.032.07

Issue

Vol. 3 No. 2 (2018): SPEKTRA: Jurnal Fisika dan Aplikasinya, Volume 3 Issue 2, August 2018

Section

Articles

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