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- Schwarzschild_coordinates abstract "In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical coordinate chart on a static and spherically symmetric spacetime, which is adapted to these nested round spheres. The defining characteristic of Schwarzschild chart is that the radial coordinate possesses a natural geometric interpretation in terms of the surface area and Gaussian curvature of each sphere. However, radial distances and angles are not accurately represented.These charts have many applications in metric theories of gravitation such as general relativity. They are most often used in static spherically symmetric spacetimes. In the case of general relativity, Birkhoff's theorem states that every isolated spherically symmetric vacuum or electrovacuum solution of the Einstein field equation is static, but this is certainly not true for perfect fluids. We should also note that the extension of the exterior region of the Schwarzschild vacuum solution inside the event horizon of a spherically symmetric black hole is not static inside the horizon, and the family of (spacelike) nested spheres cannot be extended inside the horizon, so the Schwarzschild chart for this solution necessarily breaks down at the horizon.".
- Schwarzschild_coordinates wikiPageID "30862736".
- Schwarzschild_coordinates wikiPageLength "20714".
- Schwarzschild_coordinates wikiPageOutDegree "73".
- Schwarzschild_coordinates wikiPageRevisionID "627217035".
- Schwarzschild_coordinates wikiPageWikiLink Annulus_(mathematics).
- Schwarzschild_coordinates wikiPageWikiLink Ansatz.
- Schwarzschild_coordinates wikiPageWikiLink Bach_bar.
- Schwarzschild_coordinates wikiPageWikiLink Bel_decomposition.
- Schwarzschild_coordinates wikiPageWikiLink Birkhoffs_theorem_(relativity).
- Schwarzschild_coordinates wikiPageWikiLink Black_hole.
- Schwarzschild_coordinates wikiPageWikiLink Boyer–Lindquist_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Category:Coordinate_charts_in_general_relativity.
- Schwarzschild_coordinates wikiPageWikiLink Category:Lorentzian_manifolds.
- Schwarzschild_coordinates wikiPageWikiLink Coframe_fields_in_general_relativity.
- Schwarzschild_coordinates wikiPageWikiLink Congruence_(general_relativity).
- Schwarzschild_coordinates wikiPageWikiLink Connection_form.
- Schwarzschild_coordinates wikiPageWikiLink Connection_one-form.
- Schwarzschild_coordinates wikiPageWikiLink Coordinate_chart.
- Schwarzschild_coordinates wikiPageWikiLink Eddington–Finkelstein_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Einstein_field_equation.
- Schwarzschild_coordinates wikiPageWikiLink Einstein_field_equations.
- Schwarzschild_coordinates wikiPageWikiLink Electrogravitic_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Energy_condition.
- Schwarzschild_coordinates wikiPageWikiLink Energy_conditions.
- Schwarzschild_coordinates wikiPageWikiLink Euclidean_space.
- Schwarzschild_coordinates wikiPageWikiLink Event_horizon.
- Schwarzschild_coordinates wikiPageWikiLink Frame_fields_in_general_relativity.
- Schwarzschild_coordinates wikiPageWikiLink Gaussian_curvature.
- Schwarzschild_coordinates wikiPageWikiLink Gaussian_polar_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink General_relativity.
- Schwarzschild_coordinates wikiPageWikiLink Gullstrand–Painlevé_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Integral.
- Schwarzschild_coordinates wikiPageWikiLink Isotropic_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Kerr_metric.
- Schwarzschild_coordinates wikiPageWikiLink Killing_vector_field.
- Schwarzschild_coordinates wikiPageWikiLink Kruskal–Szekeres_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Lie_algebra.
- Schwarzschild_coordinates wikiPageWikiLink Line_element.
- Schwarzschild_coordinates wikiPageWikiLink Locus_(mathematics).
- Schwarzschild_coordinates wikiPageWikiLink Lorentzian_adjoint.
- Schwarzschild_coordinates wikiPageWikiLink Lorentzian_manifold.
- Schwarzschild_coordinates wikiPageWikiLink Magnetogravitic_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Manifold.
- Schwarzschild_coordinates wikiPageWikiLink Metric_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Metric_tensor_(general_relativity).
- Schwarzschild_coordinates wikiPageWikiLink Metric_theory_of_gravitation.
- Schwarzschild_coordinates wikiPageWikiLink Minkowski_space.
- Schwarzschild_coordinates wikiPageWikiLink Perfect_fluid.
- Schwarzschild_coordinates wikiPageWikiLink Pressure.
- Schwarzschild_coordinates wikiPageWikiLink Proper_length.
- Schwarzschild_coordinates wikiPageWikiLink Proper_time.
- Schwarzschild_coordinates wikiPageWikiLink Pseudo-Riemannian_manifold.
- Schwarzschild_coordinates wikiPageWikiLink Reissner–Nordström_black_hole.
- Schwarzschild_coordinates wikiPageWikiLink Reissner–Nordström_metric.
- Schwarzschild_coordinates wikiPageWikiLink Reissner–Nordström–de_Sitter.
- Schwarzschild_coordinates wikiPageWikiLink Riemann_curvature_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Riemann_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Schwarzschild_metric.
- Schwarzschild_coordinates wikiPageWikiLink Spacelike_vector.
- Schwarzschild_coordinates wikiPageWikiLink Spacetime.
- Schwarzschild_coordinates wikiPageWikiLink Spherical_coordinate_system.
- Schwarzschild_coordinates wikiPageWikiLink Spherical_coordinates.
- Schwarzschild_coordinates wikiPageWikiLink Spherically_symmetric_spacetime.
- Schwarzschild_coordinates wikiPageWikiLink Static_spacetime.
- Schwarzschild_coordinates wikiPageWikiLink Static_spherically_symmetric_perfect_fluid.
- Schwarzschild_coordinates wikiPageWikiLink Stress–energy_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Surface_area.
- Schwarzschild_coordinates wikiPageWikiLink Topogravitic_tensor.
- Schwarzschild_coordinates wikiPageWikiLink Trace_(linear_algebra).
- Schwarzschild_coordinates wikiPageWikiLink Traceless.
- Schwarzschild_coordinates wikiPageWikiLink World_line.
- Schwarzschild_coordinates wikiPageWikiLinkText "Schwarzschild chart".
- Schwarzschild_coordinates wikiPageWikiLinkText "Schwarzschild coordinate".
- Schwarzschild_coordinates wikiPageWikiLinkText "Schwarzschild coordinates".
- Schwarzschild_coordinates wikiPageWikiLinkText "Schwarzschild".
- Schwarzschild_coordinates wikiPageWikiLinkText "Schwarzschild-type coordinates".
- Schwarzschild_coordinates hasPhotoCollection Schwarzschild_coordinates.
- Schwarzschild_coordinates wikiPageUsesTemplate Template:Reflist.
- Schwarzschild_coordinates subject Category:Coordinate_charts_in_general_relativity.
- Schwarzschild_coordinates subject Category:Lorentzian_manifolds.
- Schwarzschild_coordinates type Chart.
- Schwarzschild_coordinates type Method.
- Schwarzschild_coordinates type Physic.
- Schwarzschild_coordinates comment "In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In such a spacetime, a particularly important kind of coordinate chart is the Schwarzschild chart, a kind of polar spherical coordinate chart on a static and spherically symmetric spacetime, which is adapted to these nested round spheres.".
- Schwarzschild_coordinates label "Schwarzschild coordinates".
- Schwarzschild_coordinates sameAs m.06k9vp.
- Schwarzschild_coordinates sameAs Q7433209.
- Schwarzschild_coordinates sameAs Q7433209.
- Schwarzschild_coordinates wasDerivedFrom Schwarzschild_coordinates?oldid=627217035.
- Schwarzschild_coordinates isPrimaryTopicOf Schwarzschild_coordinates.