Perturbations of general relativity to all orders and the general n th order terms
Journal of High Energy Physics, 2023 We derive all-order expressions for perturbations of the Einstein-Hilbert action and the Einstein equation with the general n-th order terms. To this end, we employ Cheung and Remmen’s perturbation conventions both in tensor density and the usual metric ...
Kyoungho Cho, Kwangeon Kim, Kanghoon Lee
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Proca stars with nonminimal coupling to the Einstein tensor [PDF]
, 2017 We investigate Proca star (PS) solutions, namely boson star (BS) type solutions for a complex vector field with mass and nonminimal coupling to the Einstein tensor.
Masato Minamitsuji
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Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold
Advances in Mathematical Physics, 2020 The object of the paper is to study some properties of the generalized Einstein tensor GX,Y which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds PRSn. Considering the generalized Einstein tensor GX,Y as birecurrent but not recurrent, we
S. Aynur Uysal +1 more
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Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor
Physics Letters B, 2018 We investigate the properties of the backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor in the background of a d-dimensional AdS black hole.
Dong Wang +3 more
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Geodesic mappings of quasi-Einstein spaces with a constant scalar curvature
Математичні Студії, 2020 In this paper we study a special type of pseudo-Riemannian spaces - quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces.
V. A. Kiosak, G. V. Kovalova
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Semiclassical Einstein equations from holography and boundary dynamics
Journal of High Energy Physics, 2023 In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf.
Akihiro Ishibashi +2 more
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Critical point equation on almost f-cosymplectic manifolds [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Besse first conjectured that the solution of the critical point equation (CPE) must be Einstein. The CPE conjecture on some other types of Riemannian manifolds, for instance, odd-dimensional Riemannian manifolds has considered by many geometers.
H. Aruna Kumara +2 more
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New electromagnetic conservation laws [PDF]
, 2003 The Chevreton superenergy tensor was introduced in 1964 as a counterpart, for electromagnetic fields, of the well-known Bel-Robinson tensor of the gravitational field.
Bergqvist, G. +2 more
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Gravitational Collapse of a Homogeneous Scalar Field Coupled Kinematically to Einstein Tensor [PDF]
, 2015 We study the gravitational collapse of a homogeneous time-dependent scalar field that, besides its coupling to curvature, it is also kinematically coupled to the Einstein tensor.
G. Koutsoumbas +3 more
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The dimensional reduction of linearized spin-2 theories invariant under transverse diffeomorphisms
European Physical Journal C: Particles and Fields, 2021 Here we perform the Kaluza–Klein dimensional reduction from $$D+1$$ D + 1 to D dimensions of massless Lagrangians described by a symmetric rank-2 tensor and invariant under transverse differmorphisms (TDiff).
D. Dalmazi, R. R. Lino dos Santos
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