Difference between revisions of "Category:Horizons"

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In this chapter we assemble the problems that concern one of the most distinctive features of General Relativity and Cosmology --- the horizons. The first part gives an elementary introduction into the concept in the cosmological context, following and borrowing heavily from the most comprehensible text by E. Harrison <ref name=Harrison />. Then we move to more formal exposition of the subject, making use of the seminal works of W. Rindler<ref name=Rindler /> and G.F.R. Ellis, T. Rothman<ref name=Ellis />. The third section elevates the rigor one more step and explores the causal structure of different simple cosmological models in terms of conformal diagrams, following mostly the efficient approach of V. Mukhanov<ref name=Muchanov />. The following sections focus on more specific topics, such as the various problems regarding the Hubble sphere, more realistic composite models (including $\Lambda$CDM), and inflation. The section on black holes relates the general scheme of constructing conformal diagrams for stationary black hole spacetimes, following mostly the excellent textbook of K. Bronnikov and S. Rubin<ref name=BrRubin />.
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In this chapter we assemble the problems that concern one of the most distinctive features of General Relativity and Cosmology - the horizons. The first part gives an elementary introduction into the concept in the cosmological context, following and borrowing heavily from the most comprehensible text by E. Harrison <ref name=Harrison />. Then we move to more formal exposition of the subject, making use of the seminal works of W. Rindler<ref name=Rindler /> and G.F.R. Ellis, T. Rothman<ref name=Ellis />, and consider first simple, and then composite models, such as $\Lambda$CDM. The fourth section elevates the rigor one more step and explores the causal structure of different simple cosmological models in terms of conformal diagrams, following mostly the efficient approach of V. Mukhanov<ref name=Mukhanov />, and inflation. The section on black holes relates the general scheme of constructing conformal diagrams for stationary black hole spacetimes, following mostly the excellent textbook of K. Bronnikov and S. Rubin<ref name=BrRubin />. The consequent sections focus on more specific topics, such as the various problems regarding the Hubble sphere, inflation and holography.
  
 
==References==
 
==References==
{{reflist|refs=
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<references>
<ref name=Harrison>E. Harrison. Cosmology: the science of the Universe. CUP (1981)</ref>
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<ref name=Harrison>E. Harrison. Cosmology: the science of the Universe. CUP (1981) ISBN 978-0-521-66148-5</ref>
<ref name="Rindler">W. Rindler. Visual horizons in world-models. MNRAS 116 (6), 662--677 (1956) (1981)</ref>
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<ref name="Rindler">W. Rindler. Visual horizons in world-models. [http://adsabs.harvard.edu/abs/1956MNRAS.116..662R MNRAS 116 (6), 662--677 (1956) (1981)]</ref>
 
<ref name="Ellis">G.F.R. Ellis and T. Rothman. Lost horizons. Am. J. Phys. 61, 883 (1993)</ref>
 
<ref name="Ellis">G.F.R. Ellis and T. Rothman. Lost horizons. Am. J. Phys. 61, 883 (1993)</ref>
<ref name="Muchanov">V.F. Muchanov. Physical foundations of cosmology (CUP, 2005) ISBN~0521563984</ref>
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<ref name="Mukhanov">V.F. Mukhanov. Physical foundations of cosmology (CUP, 2005) ISBN 0521563984</ref>
<ref name="BrRubin">K.A. Bronnikov and S.G. Rubin. Black Holes, Cosmology and Extra Dimensions. (WSPC, 2012), ISBN~978-9814374200</ref>
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<ref name="BrRubin">K.A. Bronnikov and S.G. Rubin. Black Holes, Cosmology and Extra Dimensions. (WSPC, 2012), ISBN 978-9814374200</ref>
<ref name="Melia">F. Melia. The cosmic horizon.  MNRAS 382 (4), 1917--1921 (2007) [http://arxiv.org/abs/0711.4181 arXiv:0711.4181];<br/>F.~Melia and M.~Abdelqader, The Cosmological Spacetime,  Int. J. Mod. Phys. D 18, 1889 (2009) [http://arxiv.org/abs/0907.5394 arXiv:0907.5394]</ref>
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<!-- <ref name="Melia">F. Melia. The cosmic horizon.  MNRAS 382 (4), 1917--1921 (2007) [http://arxiv.org/abs/0711.4181 arXiv:0711.4181];<br/>F. Melia and M. Abdelqader, The Cosmological Spacetime,  Int. J. Mod. Phys. D 18, 1889 (2009) [http://arxiv.org/abs/0907.5394 arXiv:0907.5394]</ref> -->
}}
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</references>

Latest revision as of 12:32, 23 April 2014

In this chapter we assemble the problems that concern one of the most distinctive features of General Relativity and Cosmology - the horizons. The first part gives an elementary introduction into the concept in the cosmological context, following and borrowing heavily from the most comprehensible text by E. Harrison [1]. Then we move to more formal exposition of the subject, making use of the seminal works of W. Rindler[2] and G.F.R. Ellis, T. Rothman[3], and consider first simple, and then composite models, such as $\Lambda$CDM. The fourth section elevates the rigor one more step and explores the causal structure of different simple cosmological models in terms of conformal diagrams, following mostly the efficient approach of V. Mukhanov[4], and inflation. The section on black holes relates the general scheme of constructing conformal diagrams for stationary black hole spacetimes, following mostly the excellent textbook of K. Bronnikov and S. Rubin[5]. The consequent sections focus on more specific topics, such as the various problems regarding the Hubble sphere, inflation and holography.

References

  1. E. Harrison. Cosmology: the science of the Universe. CUP (1981) ISBN 978-0-521-66148-5
  2. W. Rindler. Visual horizons in world-models. MNRAS 116 (6), 662--677 (1956) (1981)
  3. G.F.R. Ellis and T. Rothman. Lost horizons. Am. J. Phys. 61, 883 (1993)
  4. V.F. Mukhanov. Physical foundations of cosmology (CUP, 2005) ISBN 0521563984
  5. K.A. Bronnikov and S.G. Rubin. Black Holes, Cosmology and Extra Dimensions. (WSPC, 2012), ISBN 978-9814374200

Pages in category "Horizons"

The following 9 pages are in this category, out of 9 total.