Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Exact_solutions_in_general_relativity> ?p ?o. }
Showing items 1 to 22 of
22
with 100 items per page.
- Exact_solutions_in_general_relativity abstract "In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.These tensor fields should obey any relevant physical laws (for example, any electromagnetic field must satisfy Maxwell's equations). Following a standard recipe which is widely used in mathematical physics, these tensor fields should also give rise to specific contributions to the stress–energy tensor . (To wit, whenever a field is described by a Lagrangian, varying with respect to the field should give the field equations and varying with respect to the metric should give the stress-energy contribution due to the field.)Finally, when all the contributions to the stress–energy tensor are added up, the result must satisfy the Einstein field equations (written here in geometrized units, where speed of light c = Gravitational constant G = 1)In the above field equations, is the Einstein tensor, computed uniquely from the metric tensor which is part of the definition of a Lorentzian manifold. Since giving the Einstein tensor does not fully determine the Riemann tensor, but leaves the Weyl tensor unspecified (see the Ricci decomposition), the Einstein equation may be considered a kind of compatibility condition: the spacetime geometry must be consistent with the amount and motion of any matter or nongravitational fields, in the sense that the immediate presence "here and now" of nongravitational energy–momentum causes a proportional amount of Ricci curvature "here and now". Moreover, taking covariant derivatives of the field equations and applying the Bianchi identities, it is found that a suitably varying amount/motion of nongravitational energy–momentum can cause ripples in curvature to propagate as gravitational radiation, even across vacuum regions, which contain no matter or nongravitational fields.".
- Exact_solutions_in_general_relativity wikiPageExternalLink book.html.
- Exact_solutions_in_general_relativity wikiPageID "1686520".
- Exact_solutions_in_general_relativity wikiPageRevisionID "606058515".
- Exact_solutions_in_general_relativity hasPhotoCollection Exact_solutions_in_general_relativity.
- Exact_solutions_in_general_relativity subject Category:Exact_solutions_in_general_relativity.
- Exact_solutions_in_general_relativity type Abstraction100002137.
- Exact_solutions_in_general_relativity type ExactSolutionsInGeneralRelativity.
- Exact_solutions_in_general_relativity type Matter100020827.
- Exact_solutions_in_general_relativity type Mixture114586258.
- Exact_solutions_in_general_relativity type Part113809207.
- Exact_solutions_in_general_relativity type PhysicalEntity100001930.
- Exact_solutions_in_general_relativity type Relation100031921.
- Exact_solutions_in_general_relativity type Solution114589223.
- Exact_solutions_in_general_relativity type Substance100019613.
- Exact_solutions_in_general_relativity comment "In general relativity, an exact solution is a Lorentzian manifold equipped with certain tensor fields which are taken to model states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.These tensor fields should obey any relevant physical laws (for example, any electromagnetic field must satisfy Maxwell's equations).".
- Exact_solutions_in_general_relativity label "Exact solutions in general relativity".
- Exact_solutions_in_general_relativity sameAs Q5419229.
- Exact_solutions_in_general_relativity sameAs Q5419229.
- Exact_solutions_in_general_relativity sameAs Exact_solutions_in_general_relativity.
- Exact_solutions_in_general_relativity wasDerivedFrom Exact_solutions_in_general_relativity?oldid=606058515.
- Exact_solutions_in_general_relativity isPrimaryTopicOf Exact_solutions_in_general_relativity.