Special and General Relativity Forum

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Join in expert discussion on special and general relativity discussion. Relativity is the dependence of various physical phenomena on relative motion of the observer and the observed objects.
A Is the variation of the metric ##\delta g_{\mu\nu}## a tensor?
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A Reconciling units for the Einstein and Landau-Lifshitz pseudotensors
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A Dirac's integral for the energy-momentum of the gravitational field
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A 1-Way Speed of Light
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A Gravitational Analysis of Wide Binaries
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A Is there any topology behind factor 2 in Schwarzschild radius?
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A Is the constancy of c a postulate or a derivable theorem?
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A Error in Landau-Lifshitz Vol 2, equation (2), page 277
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A A global energy conservation law in general relativity
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A Uncertainties in the proof of Proposition 4.4.2 in Hawking and Ellis
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A Weinberg's proof of ##{T^{\mu\nu}}_{,\nu}=0## for a perfect fluid
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A How do you convert the Pound–Rebka redshift into time variation?
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A Looking for linear frame dragging formula
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A Dirac's "comprehensive action principle" -- independent equations
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A Dirac's "GTR" Eq (27.4): how momentum ##p^\mu## varies
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A Weyl tensor and coordinate acceleration
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A The Lagrangian of a free particle ##L=-m \, ds/dt##
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A Question about Weinberg's GR book
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A Singularity Formation and Breakdown Ricci Tensor
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A The Causal Bootstrap Paradox in General Relativity
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A Question on Dirac's derivatives of the 4-velocity w.r.t. coordinates
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A Sidney Coleman's Lectures on Relativity: New Book by CUP
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A New singularity theorem?
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A Tensors in null basis
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A A Question on the TOV Limit: Continuous Forces vs. a Discrete Trigger
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A Does the EP imply that a free-falling observer follows a geodesic?
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A Covariant form of Maxwell's (inhomogeneous) equations (in GR)
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A Error in Landau-Lifshitz Vol 2, Fig. 20, page 310
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A "TImescape" models
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A Minimal property of Spacelike geodesics in GR/curved spacetime?
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A Ricci tensor for Fermi normal coordinates
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A "Looks" of gravitational wave emissions for an eclipsing ternary compact object?
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A Is parallel transport exactly norm-preserving or only approximately?
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A Landau-Lifshitz pseudotensor - expressing the EM tensor ##T^{ik}##
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A Vanishing of an integral of a divergence over a closed surface
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A Velocity Verlet for relativistic simulation
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A Dirac on localization of energy in the gravitational field
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A Value of quintessence while studying black hole thermodynamics
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A The wave vector ##k_\mu## in curved spacetime
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A Spacetime model of evaporating black hole
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A Spacetime interval in Galilean relativity
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A Dirac's derivation of the action/Lagrangian for a free particle
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A A better way of talking about time?
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A Curvature with different connections on the two-sphere
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A Speed of Light for Bonnor Beam
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A Is Fatio–Le Sage's theory of gravitation an entropic gravity?
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A Calculating geodesic equation from Hamiltonian in presence of EM
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A Special Relativity in Rotating Reference frame
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A Different time coordinates due to different velocities
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A Can We Flatten Space with York Decomposition?
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A Overall perturbation for two free-falling particles in flat spacetime
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A Show Lagrangian is invariant under a Lorentz transformation without using generators
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A Kerr to Schwarzschild to white transition
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A What kind of topology change does this Lorentzian metric describe?
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A Energy-to-angular momentum ratio in EM v. gravity quadrupole radiation
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A Quadrupole radiation formula for gravity
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A A very peculiar emergent definition of gravity
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A Zeroth law of black hole thermodynamics
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A Timelike curves on event horizon
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A How to show spin ##= \pm 2/\omega## for a circ-polarized gravity wave
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A Stationary solutions to Klein Gordon equation in spherical symmetry
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A Exact meaning of the mass M in the Kerr metric event horizon formula?
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A Metric of the "space" of 3d rotations
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A Making sense of Dirac's rotation operator in "General Theory of Relativity"
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A Inferring coordinate change from the form of the metric
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A Merging timelike and spacelike surfaces
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A Can gravitational energy be localized in the case of plane waves?
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A New Adler book on GR: Why do these coefficients go to zero?
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A Quantum mechanics and frame dragging
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A Does deceleration cause linear frame dragging?
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A Where Can I Find Detailed Derivation of Teleparallel Gravity Field Equations?
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A Parallel Transport and Geodesics
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A Dirac "GTR" Eq. 27.11 -- how to show that a boundary term vanishes?
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A Proof of covariant derivative of spinor
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A Proving that Levi-Civita tensor density is invariant
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A Relativity: Test charge moving perpendicular to a current carrying wire exhibits a force
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A Diffeo-invariant action for a matter covector field
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A Variation of CMFR mass density ##\rho## along a world line
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A Synchronous to Newtonian gauge
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A Boundary conditions in ##\delta I=0## to derive Einstein's equations
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A What does Dirac mean by "the suffixes would not balance"?
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A How do we interpret measurements of Mercury's position?
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A Dirac comment on tensor densities (Dirac GTR, p. 37)
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A Dirac's coordinates ##(\tau, \rho)## for the Schwarzschild metric with ##r \le 2m##
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A Variation of the kinetic term in scalar field theory
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A Movement vs expansion in space
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A Why ##A_{\nu:\sigma}=0## in flat space?
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A Coupling torsion to electromagnetism and torsion tensor decomposition
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A Can We Construct a Coordinate Chart Where Bell Observers Are At Rest?
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A Do Black Holes have Singularities?
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A Is there a basic example that works based on gravitoelectromagnetism?
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A Correspondence between areal radius differences and proper distances
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A How to Express the Schwarzschild Metric in Fermi Normal Coordinates?
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A What Are the Must-Read Einstein Papers on General Relativity and Beyond?
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A Negative energy in Hawking radiation
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A Where exactly is the wormhole in the Kruskal-Szekeres diagram?
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A Photon speed for an observer at the photon sphere
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A Extra (boundary?) term in Brans Dicke field equations
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A How can I calculate the square of the Pauli-Lubanski pseudovector?
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A Electrodynamics of moving bodies - §2: On the relativity of... (again)
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Relativity

The theory of relativity, formulated by Albert Einstein, comprises two fundamental theories—special and general relativity. Special relativity, proposed in 1905, redefines our understanding of space and time by asserting the constancy of the speed of light for all observers and introducing concepts like time dilation and length contraction.

General relativity, presented in 1915, extends these principles to incorporate gravity. It describes gravity as the curvature of spacetime caused by massive objects, leading to phenomena like gravitational time dilation and the prediction of black holes. Einstein's equations have been consistently validated through experiments and observations, profoundly influencing our comprehension of the universe's fabric and dynamics.

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