Einstein-æther scalar–tensor cosmology [PDF]
We propose an Einstein-aether scalar–tensor cosmological model. In particular, in the scalar–tensor Action Integral, we introduce the aether field with aether coefficients to be functions of the scalar field. This cosmological model extends previous studies on Lorentz-violating theories.
Andronikos Paliathanasis, Genly Leon
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∗-Ricci Tensor on α-Cosymplectic Manifolds
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
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Black hole quasinormal modes in a scalar-tensor theory with field derivative coupling to the Einstein tensor [PDF]
We investigate the quasinormal modes of a test massless, minimally coupled scalar field on a static and spherically symmetric black hole in the scalar-tensor theory with field derivative coupling to the Einstein tensor, which is a part of the Horndeski ...
Masato Minamitsuji
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Instability of a Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to the Einstein tensor [PDF]
We study the instability of a Reissner-Nordstr\"om-AdS (RNAdS) black hole under perturbations of a massive scalar field coupled to Einstein tensor. Calculating the potential of the scalar perturbations we find that as the strength of the coupling of the ...
E. Abdalla +5 more
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Twisted Einstein Tensors and Orbifold Geometry [PDF]
Following recent advances in the local theory of current-algebraic orbifolds, we study various geometric properties of the general WZW orbifold, the general coset orbifold and a large class of (nonlinear) sigma model orbifolds. Phase-space geometry is emphasized for the WZW orbifolds — while for the sigma model orbifolds we construct the corresponding ...
de Boer, J., Halpern, M.B., Helfgott, C.
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Bending the Bruhat-Tits tree. Part I. Tensor network and emergent Einstein equations
As an extended companion paper to [1], we elaborate in detail how the tensor network construction of a p-adic CFT encodes geometric information of a dual geometry even as we deform the CFT away from the fixed point by finding a way to assign distances to
Lin Chen, Xirong Liu, Ling-Yan Hung
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Poincaré–Einstein metrics and the Schouten tensor [PDF]
We examine here the space of conformally compact metrics $g$ on the interior of a compact manifold with boundary which have the property that the $k^{th}$ elementary symmetric function of the Schouten tensor $A_g$ is constant. When $k=1$ this is equivalent to the familiar Yamabe problem, and the corresponding metrics are complete with constant negative
Mazzeo, Rafe, Pacard, Frank
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Semi-Conformally Flat Singly Warped Product Manifolds and Applications
This paper investigates singly warped product manifolds admitting semi-conformal curvature tensors. The form of the Riemann tensor and Ricci tensor of the base and fiber manifolds of a semi-conformally flat singly warped product manifold are provided. It
Samesh Shenawy +4 more
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Chaos in the motion of a test scalar particle coupling to the Einstein tensor in Schwarzschild–Melvin black hole spacetime [PDF]
We present firstly the equation of motion for a test scalar particle coupling to the Einstein tensor in the Schwarzschild–Melvin black hole spacetime through the short-wave approximation.
Mingzhi Wang, Songbai Chen, Jiliang Jing
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Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor [PDF]
We investigate the static and spherically symmetric solutions in a class of the generalized Proca theory with the nonminimal coupling to the Einstein tensor.
Masato Minamitsuji
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