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Metric-tensor
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What is a 'spacelike surface' in relativity?
August 1st, 2022
definition
relativity
metric-tensor
causality
How to find the inverse metric?
September 17th, 2020
metric-tensor
general-relativity
homework-and-exercises
linear-algebra
Form a metric tensor from the kinetic energy
August 1st, 2022
geodesics
differential-geometry
metric-tensor
variational-principle
lagrangian-formalism
Understanding the difference between timelike and spacelike separations
December 21st, 2020
relativity
distance
causality
conventions
metric-tensor
Linearized gravity and perturbation theory
June 25th, 2020
perturbation-theory
metric-tensor
general-relativity
Computing the Christoffel symbols with the geodesic equation
July 14th, 2020
homework-and-exercises
general-relativity
differential-geometry
metric-tensor
geodesics
Meaning of general covariance
November 25th, 2020
general-relativity
covariance
metric-tensor
spacetime
How much Gravity is required to stop time?
December 27th, 2021
metric-tensor
reference-frames
spacetime
gravity
general-relativity
Finding the appropriate coordinate transformation given two metrics
August 1st, 2022
metric-tensor
homework-and-exercises
general-relativity
coordinate-systems
How to connect Einstein's Special Relativity (SR) with General Relativity (GR)?
August 1st, 2022
metric-tensor
general-relativity
special-relativity
differential-geometry
Tensor indices and row and column labels of corresponding representation matrices
August 1st, 2022
tensor-calculus
general-relativity
metric-tensor
linear-algebra
Deriving the Poincare patch from global coordinates in AdS$_{3}$
May 31st, 2020
general-relativity
metric-tensor
quantum-gravity
ads-cft
anti-de-sitter-spacetime
Ricci scalar in Scalar Field in Curved Space-time
August 1st, 2022
general-relativity
lagrangian-formalism
curvature
metric-tensor
Derivation of Inverse Lorentz Transformation in Index Notation
April 13th, 2022
notation
metric-tensor
special-relativity
Killing vectors - Schwarzschild metric
November 26th, 2020
general-relativity
homework-and-exercises
vector-fields
metric-tensor
Finding the Basis vectors of a Killing field vector space
August 1st, 2022
differential-geometry
angular-momentum
metric-tensor
homework-and-exercises
vector-fields
The most general form of the metric for a homogeneous, isotropic and static space-time
July 18th, 2020
spacetime
differential-geometry
metric-tensor
general-relativity
Geometric definition of the Lorentz inner product
March 27th, 2020
metric-tensor
vectors
special-relativity
Prove that sign of determinant of Minkowski metric is preserved by Einstein field equations
August 1st, 2020
general-relativity
metric-tensor
How to find the null geodesics?
August 1st, 2022
homework-and-exercises
general-relativity
differential-geometry
metric-tensor
geodesics
Why is proper time undefined for space-like and light-like intervals?
November 2nd, 2020
spacetime
time
metric-tensor
special-relativity
Correct tetrad index notation
August 1st, 2022
notation
tensor-calculus
metric-tensor
differential-geometry
general-relativity
Why "light cones" have different shapes near black holes?
December 31st, 2020
event-horizon
metric-tensor
general-relativity
black-holes
causality
What exactly does the Kretschmann scalar implies and how does it work?
April 23rd, 2021
general-relativity
metric-tensor
singularities
tensor-calculus
curvature
Question on index notation and metric tensor
April 14th, 2020
notation
metric-tensor
covariance
tensor-calculus
Why is spacetime interval invariant under Lorentz transform?
June 3rd, 2020
special-relativity
spacetime
metric-tensor
inertial-frames
lorentz-symmetry
Are fully raised/lowered versions of Kronecker delta tensors?
March 27th, 2020
metric-tensor
differential-geometry
general-relativity
tensor-calculus
Killing field in Minkowski space-time
August 1st, 2022
metric-tensor
vector-fields
special-relativity
differential-geometry
coordinate-systems
Why is $ds^2=0$ along the path of a light ray in any spacetime, in any reference frame, specifically non-inertial?
March 16th, 2020
spacetime
metric-tensor
speed-of-light
differential-geometry
general-relativity
Penrose Diagrams Null Coordinates
December 17th, 2020
metric-tensor
general-relativity
spacetime
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