Lovelock tensor as generalized Einstein tensor [PDF]
General Relativity and Gravitation, 1995 We show that the splitting feature of the Einstein tensor, as the first term of the Lovelock tensor, into two parts, namely the Ricci tensor and the term proportional to the curvature scalar, with the trace relation between them is a common feature of ...
M. Farhoudi
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Vacua of 5D,
, 2000 We give a detailed study of the critical points of the potentials of the simplest nontrivial $\mathcal{N}=2$ gauged Yang-Mills-Einstein supergravity theories with tensor multiplets.
Murat Günaydin, Marco Zagermann
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Unified non-metric (1, 0) tensor-Einstein supergravity theories and (4, 0) supergravity in six dimensions [PDF]
Journal of High Energy Physics, 2021 The ultrashort unitary (4, 0) supermultiplet of 6d superconformal algebra OSp(8∗|8) reduces to the CPT-self conjugate supermultiplet of 4d superconformal algebra SU(2, 2|8) that represents the fields of maximal N = 8 supergravity. The graviton in the (4,
Murat Günaydin
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Some Einstein spaces with conformally separable fundamental tensors [PDF]
Transactions of the American Mathematical Society, 1943 it is said to be conformally separable of the type (n, mn); the tensors *gij=p-2gij and *gpq = a-2gpq, with xr and xk, respectively, as parameters, are called its component tensors. We shall say that the tensor (1.1) is properly or improperly conformally separable according as O9pp $0, O9oa $ 0(5) are satisfied or not satisfied.
Yung-Chow Wong
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Einstein tensor and generalizations of Birkhoff's theorem [PDF]
Communications in Mathematical Physics, 1970 The Einstein tensors of metrics having a 3-parameter group of (global) isometries with 2-dimensional non-null orbitsG3(2,s/t) are studied in order to obtainalgebraic conditions guaranteeing an additional normal Killing vector. It is shown that Einstein spaces withG3(2,s/t) allow aG4. A critical review of some of the literature on Birkhoff's theorem and
H. Goenner
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Quantum physical relevance of the Einstein tensor [PDF]
Brazilian Journal of Physics, 2005 Nevertheless, with the Casimir and the Aharonov-Bohm effect two experimental observations are given in the quantum physical realm, which may give hints for an understanding of the role of curvature in quantum physics.
J. Lamey, G. Obermair
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Physical meaning and a duality of concepts of wave function, action functional, entropy, the Pointing vector, the Einstein tensor [PDF]
, 2010 Physical meaning and a duality of concepts of wave function, action functional, entropy, the Pointing vector, the Einstein tensor and so on can be disclosed by investigating the state of material systems such as thermodynamic and gas dynamic systems ...
Л. И. Петрова
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Modified gravity and cosmology with nonminimal direct or derivative coupling between matter and the Einstein tensor [PDF]
Physical Review D, 2022 We construct new classes of modified theories in which the matter sector couples with the Einstein tensor, namely we consider direct couplings of the latter to the energy-momentum tensor, and to the derivatives of its trace.
Petros Asimakis +4 more
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Asymmetric noncommutative torus has vanishing Einstein tensor
We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equivariant Dirac by a partial conformal rescaling (as introduced in [1]).
Bose, Deeponjit, Sitarz, Andrzej
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On bi-conservative hypersurfaces in the Lorentz-Minkowski 4-space $E_1^4$ [PDF]
Sahand Communications in Mathematical Analysis, 2023 In the 1920s, D. Hilbert has showed that the tensor of stress-energy, related to a given functional $\Lambda$, is a conservative symmetric bicovariant tensor $\Theta$ at the critical points of $\Lambda$, which means that div$\Theta =0$.
Firooz Pashaie
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