Rindler coordinates
E590891
Rindler coordinates are a coordinate system in special relativity adapted to uniformly accelerated observers, covering only part of Minkowski spacetime and revealing horizon-like structures relevant to phenomena such as the Unruh effect.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
coordinate system
ⓘ
non-inertial coordinate system ⓘ relativistic coordinate system ⓘ |
| adaptedTo | uniformly accelerated observers ⓘ |
| associatedWith |
Rindler horizon
NERFINISHED
ⓘ
Rindler wedge NERFINISHED ⓘ |
| category |
General relativity concepts
ⓘ
Special relativity concepts ⓘ |
| coordinateDomainRestrictedBy | |t| < x for right wedge (in c=1 units) ⓘ |
| coordinateSingularityAt | Rindler horizon NERFINISHED ⓘ |
| covers | part of Minkowski spacetime ⓘ |
| definedOn | Minkowski spacetime NERFINISHED ⓘ |
| doesNotCover | entire Minkowski spacetime NERFINISHED ⓘ |
| generatorOfTimeTranslations | Lorentz boost Killing vector ⓘ |
| hasLineElement | Rindler metric NERFINISHED ⓘ |
| hasProperty |
non-inertial
ⓘ
spatial coordinate proportional to proper acceleration inverse ⓘ static with respect to uniformly accelerated observers ⓘ time coordinate aligned with proper time of uniformly accelerated observers ⓘ |
| hasRegion |
left Rindler wedge
NERFINISHED
ⓘ
right Rindler wedge ⓘ |
| hasSymmetry | boost symmetry in Minkowski spacetime ⓘ |
| imply | causal disconnection across Rindler horizon ⓘ |
| introducedIn | 20th century ⓘ |
| mathematicallyRelatedTo |
Lorentz boosts
NERFINISHED
ⓘ
hyperbolic motion ⓘ |
| metricForm |
conformally flat 2D subspace in (t,x)
ⓘ
ds^2 = -a^2 \, ho^2 d au^2 + d ho^2 + dy^2 + dz^2 (up to conventions) ⓘ |
| namedAfter | Wolfgang Rindler NERFINISHED ⓘ |
| observersAtRestIn | uniformly accelerated observers ⓘ |
| relatedTo | Minkowski coordinates NERFINISHED ⓘ |
| relevantTo |
Unruh effect
NERFINISHED
ⓘ
black hole thermodynamics ⓘ quantum field theory in curved spacetime ⓘ |
| reveals | horizon-like structures ⓘ |
| spatialCoordinate | Rindler spatial coordinate ⓘ |
| timeCoordinate | Rindler time NERFINISHED ⓘ |
| transformationFrom | Minkowski coordinates via hyperbolic functions ⓘ |
| usedIn |
relativistic dynamics of accelerated motion
ⓘ
relativistic kinematics ⓘ special relativity NERFINISHED ⓘ study of accelerated detectors ⓘ study of event horizons ⓘ |
| usedToDescribe |
thermal spectrum seen by accelerated observers
ⓘ
vacuum structure in accelerated frames ⓘ |
| usedToIllustrate |
equivalence principle in flat spacetime
ⓘ
relation between acceleration and temperature ⓘ |
| usedToModel | near-horizon region of black holes ⓘ |
| worldlinesOfConstantSpatialCoordinate | uniformly accelerated trajectories ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.