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The thermodynamic structure of Einstein tensor [PDF]
Physical Review D, 2011 We analyze the generic structure of Einstein tensor projected onto a 2-D spacelike surface S defined by unit timelike and spacelike vectors u_i and n_i respectively, which describe an accelerated observer (see text).
A. Ashtekar +3 more
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Finite element approximation of the Einstein tensor [PDF]
IMA Journal of Numerical Analysis, 2023 We construct and analyse finite element approximations of the Einstein tensor in dimension $N \ge 3$. We focus on the setting where a smooth Riemannian metric tensor $g$ on a polyhedral domain $\varOmega \subset \mathbb{R}^{N}$ has been approximated by
Evan S. Gawlik, Michael Neunteufel
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Spin-Tensor–Momentum-Coupled Bose-Einstein Condensates [PDF]
Physical Review Letters, 2017 The recent experimental realization of spin-orbit coupling for ultracold atomic gases provides a powerful platform for exploring many interesting quantum phenomena.
Xi-Wang Luo, Kuei Sun, Chuanwei Zhang
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Euclidean action and the Einstein tensor [PDF]
Physical Review D, 2018 We give a local description of the Euclidean regime $(M,\mathbit{g},\mathbit{u})$ of Lorentzian spacetimes $(M,\mathbit{g})$ based on timelike geodesics $\mathbit{u}$ passing through an arbitrary event ${p}_{0}\ensuremath{\in}M$. We show that, to leading
Dawood Kothawala
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Generalized superconductors from the coupling of a scalar field to the Einstein tensor and their refractive index in massive gravity [PDF]
European Physical Journal C: Particles and Fields, 2019 We construct the generalized superconductors from the coupling of a scalar field to the Einstein tensor in the massive gravity and investigate their negative refraction in the probe limit.
Manman Sun +3 more
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Holographic correlation functions in Critical Gravity [PDF]
Journal of High Energy Physics, 2017 We compute the holographic stress tensor and the logarithmic energy-momentum tensor of Einstein-Weyl gravity at the critical point. This computation is carried out performing a holographic expansion in a bulk action supplemented by the Gauss-Bonnet term ...
Giorgos Anastasiou, Rodrigo Olea
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The Chevreton Tensor and Einstein-Maxwell Spacetimes Conformal to Einstein Spaces [PDF]
Classical and Quantum Gravity, 2007 In this paper we characterize the source-free Einstein-Maxwell spacetimes which have a trace-free Chevreton tensor. We show that this is equivalent to the Chevreton tensor being of pure-radiation type and that it restricts the spacetimes to Petrov types \
Balfagón A +17 more
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Building a holographic superconductor with a scalar field coupled kinematically to Einstein tensor [PDF]
, 2016 A bstractWe study the holographic dual description of a superconductor in which the gravity sector consists of a Maxwell field and a charged scalar field which except its minimal coupling to gravity it is also coupled kinematically to Einstein tensor. As
Xiao‐Mei Kuang +1 more
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Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor [PDF]
General Relativity and Gravitation, 2022 General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein’s action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with intriguing ...
Nikos Chatzifotis +3 more
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The Einstein Tensor and Its Generalizations
Journal of Mathematical Physics, 1971 The Einstein tensor Gij is symmetric, divergence free, and a concomitant of the metric tensor gab together with its first two derivatives. In this paper all tensors of valency two with these properties are displayed explicitly. The number of independent tensors of this type depends crucially on the dimension of the space, and, in the four dimensional ...
D. Lovelock
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