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#1Gauss–Bonnet gravity - Wikipedia
In 3+1D, it reduces to a topological surface term. This follows from the generalized Gauss–Bonnet theorem on a 4D manifold.
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#2Gravity theory with Gauss-Bonnet term
Gauss -Bonnet term is the simplest leading term. ... Hairy black holes in Dilaton-Einstein-Gauss-Bonnet (DEGB) theory.
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#3Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
4 dimensions and its action consists of the Einstein-Hilbert term with a cosmological constant, and the Gauss-Bonnet term multiplied by a factor ...
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#4The Gauss-Bonnet term - xAct
In this tutorial we will check that the Euler density in 4 dimensions, also known as the Gauss-Bonnet term, is topological. That is, we will show that its ...
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#5More on the dilatonic Einstein–Gauss– Bonnet gravity - CERN
completely fixes the additional terms associated with the frame transformation. Keywords Gauss–Bonnet gravity with dynamical dilaton field,.
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#6GRAVITATION WITH GAUSS BONNET TERMS Abstract We ...
GRAVITATION WITH GAUSS BONNET TERMS. Yvonn~ Cho~t-Bruhat. Abstract We study general properties of the partial differential equations.
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#7The Gauss-Bonnet-Katz boundary term
We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which uses the Chern-Weil theorem plus a dimensional ...
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#8Gauss-Bonnet actions and their dimensionally reduced ...
Their appearance in the low energy effective field theory of heterotic superstrings [3,4,5] and supersymmetrization of the gravitational Chern-Simons term [6] ( ...
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#9How to show the Gauss-Bonnet term is a total derivative?
It is well-known that the Gauss-Bonnet term. LG=R2−4RμνRμν+RμνρσRμνρσ. do not contributes to equations of motion when adding it to the Einstein-Hilbert ...
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#10Einstein-Gauss-Bonnet gravity in 4 dimensional space-time
In D dimensions, only terms with n < D/2 are non-trivial. Chunshan Lin (Jagiellonian University). IPMU seminar. April 21, 2020. 5 / 36 ...
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#11Gauss–Bonnet term corrections in scalar field cosmology
The influence of non-minimal coupling of a scalar field and the Gauss–Bonnet term on the inflationary stage of evolution of the universe is ...
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#12De Sitter Solutions In Models With The Gauss ... - sciforum
The models the Gauss-Bonnet term are actively used both as inflationary models and as dark energy models. To modify the Einstein equations one.
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#13Gravity theory with the Gauss-Bonnet term, and ...
Q : What is the physical effects of Gauss-Bonnet terms? ... Hairy black holes in Dilaton-Einstein-Gauss-Bonnet (DEGB) theory.
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#14Gauss–Bonnet term corrections in scalar field cosmology
Abstract The influence of non-minimal coupling of a scalar field and the Gauss–Bonnet term on the inflation- ary stage of evolution of the universe is ...
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#15A consistent theory of D → 4 Einstein-Gauss-Bonnet gravity
As is well-known, the Gauss-Bonnet (GB) term in 4 dimensions is a total derivative and thus does not contribute to the equations of motion. An ...
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#16A note on the novel 4D Einstein–Gauss–Bonnet gravity
On the other hand, if one works with 4D spacetime indices the contribution corresponding to the Gauss–Bonnet term vanishes identically in the equations of ...
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#17Asymptotic structure of Einstein-Gauss ... - Chinese Physics C
This is consistent with the fact that there is no scalar radiation. However, the effects of the Gauss-Bonnet term are quite significant in the ...
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#18Einstein-Gauss-Bonnet theory of gravity - Archive ouverte HAL
We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which uses the Chern-Weil theorem plus a dimensional continuation process, ...
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#19Construction of inflationary scenarios with the Gauss–Bonnet ...
Inflationary models with a scalar field nonminimally coupled both with the Ricci scalar and with the Gauss–Bonnet term are studied.
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#20(PDF) Gauss–Bonnet term corrections in scalar field cosmology
PDF | The influence of non-minimal coupling of a scalar field and the Gauss–Bonnet term on the inflationary stage of evolution of the ...
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#21Asymptotic structure of Einstein-Gauss-Bonnet ... - NASA/ADS
Recently, an action principle for the $D\rightarrow4$ limit of Einstein-Gauss-Bonnet gravity has been proposed. It is a special scalar-tensor theory that ...
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#22De Sitter Solutions in Models with the Gauss-Bonnet ... - MDPI
To modify the Einstein equations, one can add a nonlinear function of the Gauss–Bonnet term or a function of the scalar field multiplied on the ...
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#23The Gauss-Bonnet-Katz boundary term - Universidad Andrés ...
We propose a boundary term to the Einstein-Gauss-Bonnet action for gravity, which uses the Chern-Weil theorem plus a dimensional ...
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#24The Divergence Myth in Gauss-Bonnet Gravity William O ...
This Lagrangian can be greatly simplified by eliminating the curvature tensor term, leaving a unique combination of just the Ricci tensor and ...
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#25Enhanced instability of de Sitter space in Einstein-Gauss ...
We show that the addition of a topological Gauss-Bonnet term to the gravitational action can greatly increase the instability of ...
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#26Cosmological dynamics of fourth-order gravity with a Gauss ...
... Einstein gravity (G is the Gauss-Bonnet invariant). The particular case for which both terms are equally important on power-law solutions is described.
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#27Inconsistencies in four-dimensional Einstein-Gauss-Bonnet ...
mulating the Einstein-Gauss-Bonnet (EGB) theory in an arbitrary dimension D with a coupling constant for the. Gauss-Bonnet term re-scaled by a factor of ...
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#28Gauss-Bonnet Theorem
The Gauss Bonnet theorem links differential geometry with topol- ... surface; however, we note that the full definition of this term ...
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#29Bonnet Term Latest Research Papers | ScienceGate
We propose the way of generalization of inflationary scenarios with the Gauss–Bonnet term and a scalar field minimally coupled with the Ricci scalar to the ...
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#30Models of Anisotropic Self-Gravitating Source in Einstein ...
The dynamics of the spherical source have been observed graphically with the effects of Gauss-Bonnet coupling term in the case of collapse and expansion.
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#31De Sitter solutions in Einstein-Gauss-Bonnet gravity - Papers ...
To modify the Einstein equations one can add a nonlinear function of the Gauss-Bonnet term or a function of the scalar field multiplied on ...
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#32A type of Levi–Civita solution in modified Gauss–Bonnet gravity
Einstein's field equations are the simplest toy models for describing gravity as a geometrical object, using the Mach principle in terms of classical gauge ...
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#33Brasil - 10-dimensional cosmology with Gauss-Bonnet gravity ...
In this work, we discussed a particular 10-dimensional cosmology based on Gauss-Bonnet invariant term coupled to a generalized scalar-tensor theory as ...
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#34GAUSS-BONNET THEOREM
3. The Gauss-Bonnet theorem [3]. A convenient formulation is given in terms of orthonormal bases. Indeed, over a neighborhood of PeM, there exists a family.
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#35Gauss-Bonnet Formula -- from Wolfram MathWorld
The Gauss-Bonnet formula has several formulations. The simplest one expresses the total Gaussian curvature of an embedded triangle in terms of the total ...
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#36Higher-dimensional cosmology with Gauss-Bonnet terms and ...
Higher-dimensional cosmology with Gauss-Bonnet terms and the cosmological-constant problem. Phys Rev D Part Fields. 1990 Oct 15;42(8):2595-2600. doi: ...
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#37Spinning exact solutions with Sasakian structure in Gauss ...
Due to the higher-power term, ... α the coupling constant of the Gauss–Bonnet term, ...
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#38Gauss-Bonnet for matrix conformally rescaled Dirac - AIP ...
Recall that the Gauss-Bonnet theorem for two-dimensional manifolds can be stated in terms of spectral zeta functions. For n = 1, that is, A=C∞(M), ...
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#39Derivation of Regularized Field Equations for the Einstein ...
quadratic Gauss-Bonnet term G. All terms with higher- powers of the curvature tensors, ... In D = 5 the Gauss-Bonnet term in Equation (4) is.
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#40Cosmological reconstruction and energy constraints in ...
Besides the f(R,\phi ) theory, the scalar-Gauss–Bonnet gravity (or general ... The Ricci scalar and Gauss–Bonnet term are equal to:.
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#4113 Gauss–Bonnet theorems - Durham University
Differential Geometry III, Term 2 (Section 13). 13 Gauss–Bonnet theorems. 13.1 A bit of topology. Definition 13.1. (a) A surface S ⊂ Rn is a closed surface ...
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#427. THE GAUSS-BONNET THEOREM - UPenn Math
+ total geodesic curvature of ∂R = 2π . In the Euclidean plane, the first term on the left would be zero, and the second term 2π . We will ...
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#43Gauss–Bonnet term on vacuum decay - Yumpu
Gauss –Bonnet term on vacuum decay · ong> takes no effect.In addition, we must point out that the shifts of vacuum potentialenergy due to the appearance of GB ...
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#44Dilaton gravity (with a Gauss-Bonnet term) derived from five ...
... theory at the four-dimensional boundary described by dilaton gravity with a Gauss-Bonnet term. The coupling of matter is also discussed.
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#45Gauss-Bonnet term | Physics Forums
The Gauss-Bonnet term is defined to be a combination/contraction of various quadratic pieces of the renormalized Einstein Hilbert action.
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#47The Gauss – Bonnet Theorem
The Gauss Bonnet Theorem: If M is a compact surface with a Riemannian ... It is an immediate consequence of the formula that we established last term that .
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#48Gauss-Bonnet theorem for surfaces - Diffgeom
The Gauss-Bonnet theorem states that the average value of Gaussian curvature over a volume-normalized compact orientable two-dimensional Riemannian manifold ...
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#49Hyperbolic Geometry Notes #2 – Triangles and Gauss Bonnet
We are focused on hyperbolic space, but we will talk about spheres and the Gauss-Bonnet theorem. 1. Triangles in Hyperbolic Space.
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#50Quasinormal modes of Gauss-Bonnet black holes at large D ...
This could still be true in the gravity theory with higher derivative terms. In this paper, as the first step to study the gravity with a Gauss- ...
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#51Gauss Bonnet
Gauss -Bonnet theorem asserts that if k= SK dA & Sy kz ds + çoi = 20 surface integral path integral sum of angles of Gaussian of geodesic. 1. turned around &.
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#52Total surface area of tetrahedron
Definition of the Cauchy Stress Tensor I need help to compute and display the ... 6 The Gauss Bonnet Theorem The Gauss Bonnet Theorem generalizes Descartes ...
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#53Parts Entropy and the Principal Kinematic Formula - Johns ...
feed parts are, by definition, more robust than those that are not able to do so. Sanderson quantified this with the ... (via the Gauss-Bonnet Theorem):.
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#54Translation of closed in Spanish - Lexico.com
Pronunciation /kloʊzd/ /kləʊzd/. See Spanish definition of cerrado ... Linguistics. (syllable/vowel) cerrado. Spanish word of the day.
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#55American Express Global Business Travel and Sabre to ...
Under the terms agreement, which takes effect in January 2022, GBT will ... long-term annual investment in joint technology development with ...
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#56Gauss-Bonnet Surface Description
The Gauss-Bonnet theorem is used to describe the total curvature of a closed surface. A closed surface is one that does not have any boundaries, ...
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#57Proceedings of the Ninth Asia-Pacific International ...
The action of Gauss-Bonnet gravity is in which R-GB ~ ~~ ^RjivRfiv + RtiVpa Rttvpir) is the Gauss-Bonnet term, A is the Gauss-Bonnet parameter with a small ...
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#59Tenth Marcel Grossmann Meeting, The: On Recent Developments ...
Here I1, Ji are the asymptotic values for a – Co of the variables I, J, defined in terms of the parameters &1, Č2 of the Gauss–Bonnet model by the relations ...
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#60微分几何随记（五） Gauss-Bonnet公式 - 知乎专栏
我们知道，对于平面上的三角形，其内角和为180° 那么，对于推广到一个任意光滑曲面上呢？ 内角和又如何去计算？ 在曲面S 上给出一个由k 条光滑曲线所 ...
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#61Dark Matter in Astroparticle and Particle Physics: Dark ...
Modified Gauss-Bonnet Theory As should be clear from the above discussion, ... of Einstein's theory is that only the terms which are the second derivatives ...
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#62Classical and Quantum Cosmology - 第 809 頁 - Google 圖書結果
[arXiv:astro-ph/0303168] J.-F. Dufaux, J.E. Lidsey, R. Maartens, M. Sami, Cosmological perturbations from brane inflation with a Gauss–Bonnet term. Phys.
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#63Introduction to Quantum Field Theory with Applications to ...
In particular , derive the contribution to the propagator from the Gauss - Bonnet term for some linear gauge and try to find manifestations of the ...
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#64General Relativity and its Applications: Black Holes, ... - Google 圖書結果
Clearly, there is an infinite number of scalar terms which can be constructed out of the ... However, it can be shown that the Gauss-Bonnet term is ...
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