Abstract
In this paper, we investigate five dimensional space–time filled with minimally interacting dark matter and holographic dark energy in Brans–Dicke (Phys. Rev. 124:925, 1961) scalar–tensor theory of gravitation. The exact solutions of the field equations are obtained using (i) special law of variation for Hubble’s parameter that yields constant value of deceleration parameter and (ii) a relation between metric potentials. The physical and geometrical aspects of the model are also discussed.
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Adhav, K.S., et al.: Astrophys. Space Sci. 332, 497 (2012)
Akarsu, O., Kilnic, C.B.: Astrophys. Space Sci. 326, 315 (2010)
Akarsu, O., Kilnic, C.B.: Gen. Relativ. Gravit. 42, 763 (2012)
Applelquist, T., et al.: Modern Klein Theories. Addison–Wesley, Reading (1987)
Banerjee, N., Pavon, D.: Phys. Lett. B 647, 477 (2007)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Berman, M.S.: Nuovo Cimento B 74, 182 (1983)
Bertolami, O., Maartins, P.J.: Phys. Rev. D 61, 0604007 (2000)
Blandford, R.D., et al.: arXiv:astro-ph/0408279 (2004)
Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Capozziello, S., et al.: Phys. Lett. B 632, 597 (2006)
Carroll, S.M., et al.: Living Rev. Relativ. 4, 1 (2001)
Chiba, T., Nakamura, T.: Prog. Theor. Phys. 100, 1077 (1998)
Chodos, A., Detweller, S.: Phys. Rev. D 21, 2167 (1980)
Collins, C.B., et al.: Gen. Relativ. Gravit. 12, 805 (1983)
Gron, O.: Astron. Astrophys. 193, 1 (1988)
Guberina, B., et al.: J. Cosmol. Astropart. Phys. 01, 012 (2007)
Hooft, G.: gr-qc/9310026 (1995)
Kiran, M., et al.: Astrophys. Space Sci. 354, 577 (2014)
Kiran, M., et al.: Astrophys. Space Sci. 356, 407 (2015)
Li, M.: Phys. Lett. B 603, 1 (2004)
Linde, A.: Phys. Lett. B 238, 160 (1990)
Marchiano, W.J.: Phys. Rev. Lett. 52, 498 (1986)
Mathiazhagan, C., Johri, V.B.: Class. Quantum Gravity I, L29 (1984)
Naidu, R.L., et al.: Astrophys. Space Sci. 338, 333 (2012a)
Naidu, R.L., et al.: Int. J. Theor. Phys. 51, 1997 (2012b)
Nojiri, S., Odintsov, S.D.: Phys. Rev. D 68, 123512 (2003)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Perlmutter, S., et al.: Nature 391, 51 (1998)
Pimental, L.O.: Mod. Phys. Lett. A 12, 1865 (1997)
Pradhan, A., et al.: Czechoslov. J. Phys. 54, 487 (2004)
Reddy, D.R.K., Lakshmi, G.V.V.: Astrophys. Space Sci. 354, 633 (2014)
Reddy, D.R.K., Lakshmi, G.V.V.: Prespacetime J. 6, 295 (2015a)
Reddy, D.R.K., Lakshmi, G.V.V.: Astrophys. Space Sci. 357, 31 (2015b)
Reddy, D.R.K., et al.: Prespacetime J. 7, 300 (2016)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Saez, D., Balester, V.J.: Phys. Lett. A 113, 467 (1986)
Saha, B., Yadav, A.K.: Astrophys. Space Sci. 341, 651 (2012)
Sahin, V.: arXiv:astro-ph/0211084 (2002)
Sarkar, S.: Astrophys. Space Sci. 349, 985 (2014a)
Sarkar, S.: Astrophys. Space Sci. 352, 245 (2014b)
Sarkar, S.: Astrophys. Space Sci. 352, 859 (2014c)
Sarkar, S., Mahanta, C.R.: Int. J. Theor. Phys. 52, 1482 (2013)
Singh, T., Chaubey, R.: Pramana 71, 447 (2008)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Umadevi, S., Ramesh, G.: Astrophys. Space Sci. 359, 51 (2015)
Visser, M.: Class. Quantum Gravity 21, 2603 (2004)
Visser, M.: Gen. Relativ. Gravit. 37, 1541 (2005)
Wesson, P.S.: Astron. Astrophys. 119, 1 (1983)
Witten, E.: Phys. Lett. B 144, 351 (1984)
Yadav, k, A., et al.: arXiv:1006.5412 (2010)
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We are grateful to the referee for constructive comments which have considerably improved the presentation.
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Reddy, D.R.K., Anitha, S. & Umadevi, S. Five dimensional minimally interacting holographic dark energy model in Brans–Dicke theory of gravitation. Astrophys Space Sci 361, 356 (2016). https://doi.org/10.1007/s10509-016-2938-2
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DOI: https://doi.org/10.1007/s10509-016-2938-2