P-matrix - Revision history

en>Wikid77: fix 2 cite errors by omit "url2=" same as doi

2014-03-29T09:35:44Z

fix 2 cite errors by omit "url2=" same as doi

← Older revision		Revision as of 11:35, 29 March 2014
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	~~'''Non-exact solutions in general relativity''' are [[Solutions of the Einstein field equations\|solutions]] of Albert Einstein~~'s ~~[[Einstein field equations\|field equations of general relativity]] which hold only approximately~~. ~~These solutions are typically found by treating the gravitational field, <math>g</math>, as a background space-time, <math>\gamma</math>, (which~~ is usually an exact solution) plus some small perturbation, <math>h</math>. Then one is able to solve the [[Einstein field equations]] as a [[Power series solution of differential equations\|series]] in <math>h</math>, dropping higher order terms for simplicity.		Oscar is how he's called and he totally enjoys this name. Hiring is her working day occupation now and she will not alter it whenever soon. Years in the past he moved to North Dakota and his family members loves it. To collect coins is what his family and him enjoy.<br><br>Feel free to surf to my web page - [http://www.lankaclipstv.com/blog/165665 at home std testing]

	~~A common example of this method results~~ in the ~~[[linearised Einstein field equations]]~~. ~~In this case we expand the full space-time metric about the flat [[Minkowski metric]], <math>\eta_{\mu\nu}</math>:~~

	~~::<math>g_{\mu\nu} = \eta_{\mu\nu} + h_{\mu\nu} +\mathcal{O}(h^2)</math>,~~

	and ~~dropping all terms which are of second or higher order in~~ <~~math~~>h<~~/math~~>~~.<ref name="Carroll2004">{{cite book\|author=Sean M. Carroll\|title=Spacetime and Geometry: An Introduction~~ to ~~General Relativity\|url=~~http://~~books~~.~~google~~.com/~~books?id=1SKFQgAACAAJ\|year=2004\|publisher=Addison-Wesley Longman, Incorporated\|isbn=978-0-8053-8732-2\|pages=274–279}}<~~/~~ref>~~

	~~==See also==~~
	* [[Exact solutions in general relativity]]
	* [[Linearized gravity]]
	* [[Post-Newtonian expansion]]
	* [[Parameterized post-Newtonian formalism]]
	* [[Numerical relativity]]

	~~==References==~~

	~~{{Reflist}}~~

	~~{{DEFAULTSORT:Non-Exact Solutions In General Relativity}}~~
	~~[[Category:General relativity]]~~


	~~{{Relativity-stub}}~~

en>Mark viking: /* Spectra of P-matrices */ Added wl

2014-01-13T04:09:00Z

Spectra of P-matrices: Added wl

← Older revision		Revision as of 06:09, 13 January 2014
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	~~Jayson Berryhill is how I~~'~~m known as and my spouse doesn~~'~~t like it at all~~. ~~Playing badminton~~ is ~~a factor that he~~ is ~~completely addicted~~ to. ~~Her family lives~~ in ~~Alaska but her husband desires them to transfer~~. ~~I am an invoicing officer~~ and ~~I'll be promoted soon.~~<br><br>~~my web site; email psychic readings [[~~http://~~formalarmour~~.com/~~index.php~~?do=/~~profile~~-~~26947/info/ company website~~]]		'''Non-exact solutions in general relativity''' are [[Solutions of the Einstein field equations\|solutions]] of Albert Einstein's [[Einstein field equations\|field equations of general relativity]] which hold only approximately. These solutions are typically found by treating the gravitational field, <math>g</math>, as a background space-time, <math>\gamma</math>, (which is usually an exact solution) plus some small perturbation, <math>h</math>. Then one is able to solve the [[Einstein field equations]] as a [[Power series solution of differential equations\|series]] in <math>h</math>, dropping higher order terms for simplicity.

			A common example of this method results in the [[linearised Einstein field equations]]. In this case we expand the full space-time metric about the flat [[Minkowski metric]], <math>\eta_{\mu\nu}</math>:

			::<math>g_{\mu\nu} = \eta_{\mu\nu} + h_{\mu\nu} +\mathcal{O}(h^2)</math>,

			and dropping all terms which are of second or higher order in <math>h</math>.<ref name="Carroll2004">{{cite book\|author=Sean M. Carroll\|title=Spacetime and Geometry: An Introduction to General Relativity\|url=http://books.google.com/books?id=1SKFQgAACAAJ\|year=2004\|publisher=Addison-Wesley Longman, Incorporated\|isbn=978-0-8053-8732-2\|pages=274–279}}</ref>

			==See also==
			* [[Exact solutions in general relativity]]
			* [[Linearized gravity]]
			* [[Post-Newtonian expansion]]
			* [[Parameterized post-Newtonian formalism]]
			* [[Numerical relativity]]

			==References==

			{{Reflist}}

			{{DEFAULTSORT:Non-Exact Solutions In General Relativity}}
			[[Category:General relativity]]


			{{Relativity-stub}}

125.203.171.67: /* References */

2012-03-29T14:52:10Z

References

New page

Jayson Berryhill is how I'm known as and my spouse doesn't like it at all. Playing badminton is a factor that he is completely addicted to. Her family lives in Alaska but her husband desires them to transfer. I am an invoicing officer and I'll be promoted soon.<br><br>my web site; email psychic readings [[http://formalarmour.com/index.php?do=/profile-26947/info/ company website]]