Dark Energy and Spacetime Symmetry by Irina Dymnikova

“…The Petrov classification of stress-energy tensors provides a model-independent definition of a vacuum by the algebraic structure of its stress-energy tensor and implies the existence of vacua whose symmetry is reduced as compared with the maximally symmetric de Sitter vacuum associated with the Einstein cosmological term. …”
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Generic Behavior of Electromagnetic Fields of Regular Rotating Electrically Charged Compact Objects in Nonlinear Electrodynamics Minimally Coupled to Gravity by Irina Dymnikova, Evgeny Galaktionov

“…The electromagnetic fields obey the system of four source-free nonlinear equations for the electromagnetic tensor <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>F</mi><mrow><mi>μ</mi><mi>ν</mi></mrow></msub></semantics></math></inline-formula>, with only two independent components due to spacetime symmetry determined by the algebraic structure of electromagnetic stress–energy tensors (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>p</mi><mi>r</mi></msub><mo>=</mo><mo>−</mo><mi>ρ</mi></mrow></semantics></math></inline-formula>). …”
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Image of the Electron Suggested by Nonlinear Electrodynamics Coupled to Gravity by Irina Dymnikova

“…Regular spherically symmetric solutions of NED-GR equations that describe electrically charged objects have obligatory de Sitter center due to the algebraic structure of stress–energy tensors for electromagnetic fields. …”
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Generic Features of Thermodynamics of Horizons in Regular Spherical Space-Times of the Kerr-Schild Class by Irina Dymnikova

“…A source term in the Einstein equations satisfies T t t = T r r and represents an anisotropic vacuum dark fluid ( p r = &minus; &rho; ), defined by the algebraic structure of its stress-energy tensor, which describes a time-evolving and spatially inhomogeneous, distributed or clustering, vacuum dark energy intrinsically related to space-time symmetry. …”
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