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The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard…

High Energy Physics - Theory · Physics 2025-09-29 Nathan Moynihan , Michael L. Reichenberg Ashby , Chris D. White

We present exact solutions of four-dimensional Einstein's equations related to Minkoswki vacuum constructed from Type IIB string theory with non-trivial fluxes. Following recent works, we study a non-trivial flux compactification on a…

High Energy Physics - Theory · Physics 2017-05-24 Cesar Damian , Oscar Loaiza-Brito

The gravitational field of two-body system, a high energetic particle and a massive particle at rest, is studied in the linearized Einstein gravity. The ultrarelativistic particle yields a plane-fronted gravitational shockwave which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 D. V. Fursaev , V. A. Tainov

We construct slowly rotating black-hole solutions of Einsteinian cubic gravity (ECG) in four dimensions with flat and AdS asymptotes. At leading order in the rotation parameter, the only modification with respect to the static case is the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Connor Adair , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

Gauge invariant treatments of the second order cosmological perturbation in a four dimensional homogeneous isotropic universe filled with the perfect fluid are completely formulated without any gauge fixing. We derive all components of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Kouji Nakamura

We investigate the neutral AdS black-hole solution in the consistent $D\rightarrow4$ Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett. B {\bf 810}, 135843 (2020)] and construct the gravity duals…

High Energy Physics - Theory · Physics 2021-01-06 Xiongying Qiao , Liang OuYang , Dong Wang , Qiyuan Pan , Jiliang Jing

We derive four-dimensional effective theories for warped compactification of the ten-dimensional IIB supergravity and the eleven-dimensional Horava-Witten model. We show that these effective theories allow a much wider class of solutions…

High Energy Physics - Theory · Physics 2009-11-11 Hideo Kodama , Kunihito Uzawa

In this paper, we establish compactness results of some class of conformally compact Einstein 4-manifolds. In the first part of the paper, we improve the earlier results obtained by Chang-Ge. In the second part of the paper, as…

Differential Geometry · Mathematics 2019-07-15 Sun-Yung A. Chang , Yuxin Ge , Jie Qing

We construct a basis of conformal primary wavefunctions (CPWs) for $p$-form fields in any dimension, calculating their scalar products and exhibiting the change of basis between conventional plane wave and CPW mode expansions. We also…

High Energy Physics - Theory · Physics 2023-07-12 Laura Donnay , Erfan Esmaeili , Carlo Heissenberg

We revisit the static spherically symmetric solutions of Einstein's General Relativity with a conformally coupled scalar field in arbitrary dimensions. Using a four rank tensor introduced earlier we recast the field equations in a…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Sourya Ray

The Einstein equation in D dimensions, if restricted to the class of space-times possessing n = D - 2 commuting hypersurface-orthogonal Killing vectors, can be equivalently written as metric-dilaton gravity in 2 dimensions with n scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-30 H. -J. Schmidt

A unitary gravitational action up to third order of curvature in which respects to the holographic $a-$theorem has been constructed in \cite{myers}. In particular, its third order term is just the Weyl-cubed term in four dimensions. In this…

High Energy Physics - Theory · Physics 2016-01-13 Mohammad A. Ganjali

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

The almost scale-invariant spectrum for the stochastic background wave (in primordial Universe) is a firm prediction of inflationary scenarios. In the present work, to study of primordial Gravitational Waves, one dimensional toy model in…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Taimur Mohammadi , Behrooz Malekolkalami

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of General…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

A new solution to the Einstein-Maxwell field equations is presented describing a cylindrically symmetric homogeneous cosmology. The solution is conformally flat, it possesses seven Killing vectors of which the timelike one is rotating and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hector Vargas Rodriguez

The known exact solutions of Einstein's vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We describe a scheme designed to check…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Peter A. Hogan , Dirk Puetzfeld

In this work, we study the issue of the past and future cosmological singularities in the context of the fourth-order conformal Weyl gravity. In particular, we investigate the emergent universe scenario proposed by Ellis {\it et al}, and…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Yaghoub Heydarzade

We drastically simplify the problem of linearizing a general higher-order theory of gravity. We reduce it to the evaluation of its Lagrangian on a particular Riemann tensor depending on two parameters, and the computation of two derivatives…

High Energy Physics - Theory · Physics 2016-11-09 Pablo Bueno , Pablo A. Cano

We carry out a thorough analysis on a class of cosmological spacetimes which admit three space-like Killing vectors of Bianchi class B and contain electromagnetic fields. Using dynamical system analysis, we show that a family of vacuum…

General Relativity and Quantum Cosmology · Physics 2012-03-13 Kei Yamamoto