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  • 1
    Electronic Resource
    Electronic Resource
    Chern–Simons terms in metric-affine space-time: Bianchi identities as Euler–Lagrange equations (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2169-2180 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The metric-affine gauge theory of gravity encompasses a space-time with the following geometrical fields: coframe cursive-thetaα, metric g, and an independent linear connection Γαβ. Within this geometrical framework, all four-forms B=dC are constructed which qualify as boundary terms for a gauge Lagrangian, that is, they are GL(4,R)-scalars as well as exact forms derived from Chern–Simons type three-forms C. The result of our search is summarized in Eq. (4.20). The translational piece dCTT is new. The boundary terms effectively serve as Lagrangians for the Bianchi identities of nonmetricity, torsion, and curvature. In the canonical formalism, the normal parts of the Chern–Simons three-forms represent generating functions that are capable of generating new Ashtekar type variables. Eventually, the Bach–Lanczos identity is generalized to the metric-affine space-time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529191
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    SUMMARY OF WORKSHOP ON GAUGE THEORIES OF GRAVITATION (1980)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 336 (1980), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1980.tb15938.x
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  • 3
    Electronic Resource
    Electronic Resource
    Bianchi identities and the automatic conservation of energy-momentum and angular momentum in general-relativistic field theories (1986)
    Springer
    Foundations of physics 16 (1986), S. 267-293 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Automatic conservation of energy-momentum and angular momentum is guaranteed in a gravitational theory if, via the field equations, the conservation laws for the material currents are reduced to the contracted Bianchi identities. We first execute an irreducible decomposition of the Bianchi identities in a Riemann-Cartan space-time. Then, starting from a Riemannian space-time with or without torsion, we determine those gravitational theories which have automatic conservation: general relativity and the Einstein-Cartan-Sciama-Kibble theory, both with cosmological constant, and the nonviable pseudoscalar model. The Poincaré gauge theory of gravity, like gauge theories of internal groups, has no automatic conservation in the sense defined above. This does not lead to any difficulties in principle. Analogies to 3-dimensional continuum mechanics are stressed throughout the article.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01889477
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  • 4
    Electronic Resource
    Electronic Resource
    Metric-affine variational principles in general relativity II. Relaxation of the Riemannian constraint (1981)
    Springer
    General relativity and gravitation 13 (1981), S. 1037-1056 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We continue our investigation of a variational principle for general relativity in which the metric tensor and the (asymmetric) linear connection are varied independently. As in Part I, the matter Lagrangian is minimally coupled to the connection and the gravitational Lagrangian is taken to be the curvature scalar, but we now relax the Riemannian constraint as far as possible—that is, as far as the projective invariance of the assumed gravitational Lagrangian will allow. The outcome of this procedure is a gravitational theory formulated in a volume-preserving space-time (i.e., with torsion and tracefree nonmetricity). The vanishing of the trace of the nonmetricity is due to the remaining vector constraint. We also discuss the physical significance of the relaxation of the Riemannian constraint, the possible relaxation of the vector constraint, the notion of the hypermomentum current, and its possible relation to elementary particle physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00756364
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  • 5
    Electronic Resource
    Electronic Resource
    Book review (1989)
    Springer
    General relativity and gravitation 21 (1989), S. 315-317 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00764104
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Progress in metric-affine gauge theories of gravity with local scale invariance (1989)
    Springer
    Foundations of physics 19 (1989), S. 1075-1100 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Einstein's general relativity theory describes very well the gravitational phenomena in themacroscopic world. In themicroscopic domain of elementary particles, however, it does not exhibit gauge invariance or approximate Bjorken type scaling, properties which are believed to be indispensible for arenormalizable field theory. We argue that thelocal extension of space-time symmetries, such as of Lorentz and scale invariance, provides the clue for improvement. Eventually, this leads to aGL(4, R)-gauge approach to gravity in which the metric and the affine connection acquire the status ofindependent fields. The Yang-Mills type field equations, the Noether identities, and conformal models of gravity are discussed within this framework. After symmetry breaking, Einstein's GR surfaces as an effective “low-energy” theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01883159
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  • 7
    Electronic Resource
    Electronic Resource
    On the kinematics of the torsion of space-time (1985)
    Springer
    Foundations of physics 15 (1985), S. 451-471 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract On a macroscopic level we take general relativity as the appropriate theory of space-time and gravity. We will argue that, on a more microscopic level, in the Compton wavelength regime of elementary particles, there are good reasons for suspecting the presence of a torsion of space-time. A corresponding gaugetheoretical formalism related to the Poincaré group is reviewed, and the kinematical consequences of the presence of a torsion are worked out. In particular we discuss the operational meaning and the measurability of torsion. The dynamics of torsion is left for a forthcoming article.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01889281
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  • 8
    Electronic Resource
    Electronic Resource
    Towards a unified gauge theory of gravitational and strong interactions (1980)
    Springer
    General relativity and gravitation 12 (1980), S. 83-90 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the space-time properties of leptons and hadrons and find it necessary to extend general relativity to the gauge theory based on the four-dimensional affine group. This group translates and deforms the tetrads of the locally Minkowskian space-time. Its conserved currents, momentum, and hypermomentum, act as sources in the two field equations of gravity. A Lagrangian quadratic in torsion and curvature allows for the propagation of two independent gauge fields: translationale-gravity mediated by the tetrad coefficients, and deformational Γ-gravity mediated by the connection coefficients. For macroscopic mattere-gravity coincides with general relativity up to the post-Newtonian approximation of fourth order. For microscopic matter Γ-gravity represents a strong Yang-Mills type interaction. In the linear approximation, for a static source, a confinement potential is found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00756170
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  • 9
    Electronic Resource
    Electronic Resource
    Exterior calculus on the computer: The REDUCE-package EXCALC applied to general relativity and to the Poincaré gauge theory (1987)
    Springer
    General relativity and gravitation 19 (1987), S. 197-218 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The computer algebra system REDUCE has recently been enriched by a package on exterior calculus. Here we apply the EXCALC package to the calculation of quantities within the Poincaré gauge theory of gravity, general relativity being included in this scheme as a spcial case. Thereby we simplify and streamline earlier results found by means of tensor-analytical REDUCE calculations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00770331
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  • 10
    Electronic Resource
    Electronic Resource
    On the gravitational effects of rotating masses: The Thirring-Lense papers (1984)
    Springer
    General relativity and gravitation 16 (1984), S. 711-750 
    Details
    ISSN: 1572-9532
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The purpose of this work is to provide a critical analysis of the classical papers of H. Thirring [Phys. Z.,19, 33 (1918);Phys. Z.,22, 29 (1921)] and J. Lense and H. Thirring [Phys. Z.,19, 156 (1918)] on rotating masses in the relativistic theory of gravitation and to render them accessible to a wider circle of scholars. An English translation of these papers is presented which follows the original German text as closely as possible. This is followed by a concise account of the significance of the results of these papers as well as the possibility of measuring the gravitational effects of rotating masses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00762913
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