# Difference between revisions of "Category:Horizons"

Line 1: | Line 1: | ||

− | 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 />. | + | 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<ref name=Melia />, 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 />. |

==References== | ==References== | ||

<references> | <references> | ||

<ref name=Harrison>E. Harrison. Cosmology: the science of the Universe. CUP (1981)</ref> | <ref name=Harrison>E. Harrison. Cosmology: the science of the Universe. CUP (1981)</ref> | ||

− | <ref name="Rindler">W. Rindler. Visual horizons in world-models. MNRAS 116 (6), 662--677 (1956) (1981)</ref> | + | <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> | <ref name="Muchanov">V.F. Muchanov. 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> | <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. | + | <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> |

</references> | </references> |

## Revision as of 14:04, 26 September 2013

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]}. 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^{[4]}. The following sections focus on more specific topics, such as the various problems regarding the Hubble sphere^{[5]}, 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^{[6]}.

## References

- ↑ E. Harrison. Cosmology: the science of the Universe. CUP (1981)
- ↑ W. Rindler. Visual horizons in world-models. MNRAS 116 (6), 662--677 (1956) (1981)
- ↑ G.F.R. Ellis and T. Rothman. Lost horizons. Am. J. Phys. 61, 883 (1993)
- ↑ V.F. Muchanov. Physical foundations of cosmology (CUP, 2005) ISBN~0521563984
- ↑ F. Melia. The cosmic horizon. MNRAS 382 (4), 1917--1921 (2007) arXiv:0711.4181;

F. Melia and M. Abdelqader, The Cosmological Spacetime, Int. J. Mod. Phys. D 18, 1889 (2009) arXiv:0907.5394 - ↑ 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.