Quantitative Introduction to General Relativity - Revision history

Irishtory: added cosmological constant (aka dark matter) to field eq.

2019-05-18T19:37:31Z

added cosmological constant (aka dark matter) to field eq.

DavidB4-bot: clean up & uniformity

2016-07-13T18:03:49Z

clean up & uniformity

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EvanW: Undo revision 725664 by JacobB (Talk) No, it isn't pseudoscience; it's falsifiable. See Talk:Black hole et al.

2009-12-01T20:03:35Z

Undo revision 725664 by JacobB (Talk) No, it isn't pseudoscience; it's falsifiable. See Talk:Black hole et al.

JacobB: category

2009-12-01T18:27:27Z

JacobB at 18:26, December 1, 2009

2009-12-01T18:26:30Z

EvanW: See also General Relativity

2009-12-01T18:10:42Z

DouglasA: Created page with ''''Quantitative Introduction to General Relativity''' {{Template:Math-a}} General Relativity is a mathematical extension of Special Relativity. GR views space-time as a 4-dimen...'

2009-12-01T18:06:28Z

Created page with ''''Quantitative Introduction to General Relativity''' {{Template:Math-a}} General Relativity is a mathematical extension of Special Relativity. GR views space-time as a 4-dimen...'

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 In their general form, the Einstein field equations are written as a single [[tensor]] equation in [[abstract index notation]] relating the curvature of spacetime to sources of curvature such as energy density and momentum.
-:<math> G_{\mu\nu} = 8\,\pi\,G\,T_{\mu\nu} </math>
+:<math> G_{\mu\nu} = 8\,\pi\,G\,T_{\mu\nu} - \Lambda g_{\mu\nu}</math>
-In this form, <math>G_{\mu\nu}</math> represents the ''Einstein tensor,'' <math>G</math> is the same ''gravitational constant'' that appears in the [[Law of Universal Gravitation|law of universal gravitation]], and <math>T_{\mu\nu}</math> is the ''stress-energy tensor'' (sometimes referred to as the ''energy-momentum tensor).'' The indices <math>\mu</math> and <math>\nu</math> range from zero to three, representing the time coordinate and the three space coordinates in a manner consistent with [[Special theory of relativity|special relativity]].
+In this form, <math>G_{\mu\nu}</math> represents the ''Einstein tensor,'' <math>G</math> is the same ''gravitational constant'' that appears in the [[Law of Universal Gravitation|law of universal gravitation]], and <math>T_{\mu\nu}</math> is the ''stress-energy tensor'' (sometimes referred to as the ''energy-momentum tensor).'' The indices <math>\mu</math> and <math>\nu</math> range from zero to three, representing the time coordinate and the three space coordinates in a manner consistent with [[Special theory of relativity|special relativity]]. <math>\Lambda </math> is the cosmological constant.
 The left side of the equation — the Einstein tensor — describes the curvature of spacetime in the region under examination. The right side of the equation describes everything in that region that affects the curvature of spacetime.

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	====The cosmological constant====		====The cosmological constant====
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−	''~~'Quantitative Introduction to~~ General Relativity'''	+	''<small>For a general overview of the theory, see [[General Relativity]]</small>''

	{{Template:Math-a}}		{{Template:Math-a}}