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  a   r    X    i   v   :    h   e   p      t    h    /    0    4    0    9    2    4    1   v    2    3    0    S   e   p    2    0    0    4 UMD-PP-05-019 BA-04-10 Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution Axe l Krau se ∗ Department of Physics, University of Maryl and, College Park, Mar yla nd 20742, USA Siew-Phan g Ng † Dep artme nt of Phys ics, Univ ersi ty of Maryl and, College Park, Mar yla nd 20742, USA and Bartol Res ear ch Institute, Univ ersi ty of Delaw are, Newark, Del awa re 19716, USA (Dated: February 1, 2008) Abstract The recently proposed infrared modification of gravity through the introduction of a ghost scalar field results in a number of interesting cosmological and phenomenological implications. In this paper, we derive the exact cosmological solutions for a number of scenarios where at late stages, the ghost behaves like dark matter , or dark energy. The full soluti ons give valuable information about the non-linear regime beyo nd the asympt otic first order analysis presented in the literature . The generic feature is that these ghost cosmologies give rise to smooth transitions between radiation dominated phases (or more general power-law expansions) at early epochs and ghost dark matter resp. gho st dar k energy dominate d late epochs. The curre nt age of our universe place s us rig ht at the non-linear transition phase. By studying the evolution backwards in time, we find that the dominance of the ghost over ordinary baryonic matter and radiative contributions persists back to the earliest times such that the Friedmann-Robertson-Walker geometry is dictated to a good approximation by the ghost alone. We also find that the Jeans instability occurs in the ghost dark energy scenario at late times, while it is absent in the ghost dark matter scenario. PACS numbers: 98.80.Cq, 04.20.Jb ∗ Electronic address: [email protected] † Electronic address: [email protected] 1

Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 1: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

http://slidepdf.com/reader/full/axel-krause-and-siew-phang-ng-ghost-cosmology-exact-solutions-transitions 1/31

mailto:[email protected]
mailto:[email protected]
http://arxiv.org/abs/hep-th/0409241v2
Page 2: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

http://slidepdf.com/reader/full/axel-krause-and-siew-phang-ng-ghost-cosmology-exact-solutions-transitions 2/31

Page 3: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 4: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 5: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 6: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 7: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 8: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 9: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 10: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 11: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 12: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 13: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 14: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 15: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 16: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 17: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 19: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 20: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 21: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 22: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 23: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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Page 24: Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

http://slidepdf.com/reader/full/axel-krause-and-siew-phang-ng-ghost-cosmology-exact-solutions-transitions 28/31

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8/3/2019 Axel Krause and Siew-Phang Ng- Ghost Cosmology: Exact Solutions, Transitions Between Standard Cosmologies and Ghost Dark Energy/Matter Evolution

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http://slidepdf.com/reader/full/axel-krause-and-siew-phang-ng-ghost-cosmology-exact-solutions-transitions 30/31

http://arxiv.org/abs/hep-th/0404109
http://arxiv.org/abs/hep-th/0404216
http://arxiv.org/abs/hep-th/0405054
http://arxiv.org/abs/astro-ph/0406187
http://arxiv.org/abs/gr-qc/0406086
http://arxiv.org/abs/hep-ph/0407034
http://arxiv.org/abs/hep-ph/0407081
http://arxiv.org/abs/hep-th/0404001
http://arxiv.org/abs/hep-th/0403027
http://arxiv.org/abs/hep-th/0301240
http://arxiv.org/abs/astro-ph/0309300
http://arxiv.org/abs/hep-ph/0302116
http://arxiv.org/abs/astro-ph/0302030
http://arxiv.org/abs/hep-th/0005016
http://arxiv.org/abs/hep-th/0312099
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http://slidepdf.com/reader/full/axel-krause-and-siew-phang-ng-ghost-cosmology-exact-solutions-transitions 31/31

http://arxiv.org/abs/hep-th/0007233
http://arxiv.org/abs/hep-th/0006226
http://arxiv.org/abs/astro-ph/9905222
http://arxiv.org/abs/astro-ph/9909269
http://arxiv.org/abs/astro-ph/0306272
http://arxiv.org/abs/astro-ph/0302209
http://arxiv.org/abs/hep-th/0312100
http://arxiv.org/abs/hep-th/0408127
http://arxiv.org/abs/astro-ph/0402316
http://arxiv.org/abs/hep-ph/0403308
http://arxiv.org/abs/hep-th/0404005

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