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A spectral action associated with an Einstein-Cartan formulation of supergravity is proposed. To construct this action we make use of the Seeley-DeWitt coefficients in a Riemann-Cartan space. For cons...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/21
Aureliano de Mira Fernandes, born in 1884 in Portugal, was professor of Differential and Integral Calculus and Rational Mechanics, at Instituto Superior T´ecnico,from its foundation in 1911, onw...
Complementarity of Kinematics and Geometry in General Relativity Theory
Complementarity of Kinematics Geometry General Relativity Theory
2010/12/20
Relations between kinematics, geometry and law of reference frame motion are considered. We show, that kinematical tensors define geometry up to a space functiona arbitrariness when integrability cond...
Critical phenomena and information geometry in black hole physics
Critical phenomena black hole physics information geometry
2010/3/17
We discuss the use of information geometry in black hole physics and present the outcomes. The type of information geometry we utilize in this approach is the thermodynamic (Ruppeiner) geometry define...
Five Dimensional Stiff Fluid Models in Lyra Geometry
Five dimensional cosmological model stiff fluid Lyra geometry
2010/4/8
We have constructed stiff fluid cosmological models in five dimensional space-time based on Lyra geometry. Some physical and geometrical properties of the models are discussed.
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
non-unitary link variable Connes' distance formula vacuum solution
noncommutative geometry cyclic group
2007/8/15
2002Vol.37No.1pp.11-14DOI:
Vacuum Solutions of Classical Gravity on Cyclic Groups from Noncommutative Geometry
DAI Jian and SONG Xing-Chang
Institute of Theoretical Phys...