Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism

Abstract

We present the first English translation of Einstein's original papers related to the teleparallel ('absolute parallelism', 'distant parallelism' and the German 'Fernparallelismus' are synonyms) attempt of an unified field theory of gravitation and electromagnetism. Our collection contains the summarizing paper in Math. Annal. 102 (1930) pp. 685-697 and 2 reports published in 'Sitzungsberichte der Preussischen Akademie der Wissenschaften' on June 7th, 1928 (pp. 217-221), June 14th, 1928 (pp. 224-227) and a precursor report (July 9th, 1925 pp. 414-419). To ease understanding, literature on tensor analysis is quoted in the footnotes.

4 translated articles, 23 pages

Cited by in corpus (66)

• Modified Gravity and Cosmology
• f(R,T) gravity
• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Cosmological perturbations in f(T) gravity
• $f(T,\mathcal{T})$ gravity and cosmology
• Generalized curvature-matter couplings in modified gravity
• Good and bad tetrads in f(T) gravity
• Degrees of freedom of $f(T)$ gravity
• Phase-Space analysis of Teleparallel Dark Energy
• Anisotropic Compact Stars in $f(G)$ Gravity
• Violation of the first law of black hole thermodynamics in $f(T)$ gravity
• New Static Solutions in f(T) Theory
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• On the equivalence of the Einstein-Hilbert and the Einstein-Palatini formulations of general relativity for an arbitrary connection
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Generalized Noether symmetry in f(T) gravity
• On the viability of $f(Q)$ gravity models
• Tachyonic Teleparallel Dark Energy
• Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
• Notes on teleparallel cosmology with nonminimally coupled scalar field
• Deflection angle and lensing signature of covariant f(T) gravity
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• The $3+1$ Formalism in the Geometric Trinity of Gravity
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Logamediate Inflation in f(T) Teleparallel Gravity
• Connection independent formulation of general relativity
• Density Perturbation Growth in Teleparallel Cosmology
• A Perturbative Approach to Neutron Stars in $f(T,\mathcal{T})-$Gravity
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Matter stability in modified teleparallel gravity
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Absence of Relativistic Stars in f(T) Gravity
• Teleparallelism: A New Insight Into Gravity
• Metric dimensional reduction at singularities with implications to Quantum Gravity
• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• Lorentz symmetries and primary constraints in covariant teleparallel gravity
• Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$ gravity
• Dynamics in interacting scalar-torsion theory
• Noether symmetry in $f(T)$ teleparallel gravity
• Inflation with F(T) Teleparallel Gravity
• Testing non-local gravity by clusters of galaxies
• Rotational elasticity
• New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
• Consistent Levi Civita truncation uniquely characterizes the Lovelock Lagrangians
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• The stationary Weyl equation and Cosserat elasticity
• Energy in an Expanding Universe in the Teleparallel Geometry
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Hyperscaling violating black holes in scalar-torsion theories
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Reconstruction from scalar-tensor theory and the inhomogeneous equation of state in f(T) Gravity
• Dual 2+1D Loop Quantum Gravity on the Edge
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• The spectral function of a first order system
• Can an Extra Degree of Freedom in Scalar-Tensor Non-Metricity Gravity Account for the Evolution of the Universe?
• A Matter with an effective EoS interacting with a tachynic field in an accelerating Universe
• Topological charges and quasi-charges in Absolute Parallelism
• Black holes solutions in power-law Maxwell-$f(T)$ gravity in diverse dimensions
• Quantum Cosmology in $f(Q)$ theory
• The second-order problem for $k$-presymplectic Lagrangian field theories. Application to the Einstein--Palatini model
• Dynamics of Generalized Tachyon Field in Teleparallel Gravity
• At the Corner of Space and Time
• Parameterized post Newtonian approximation in a teleparallel model of dark energy with a boundary term