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The growth rate of the large-scale structure of the universe has been advocated as the observable par excellence for testing gravity on cosmological scales. By considering linear-order deviations from General Relativity, we show that…

宇宙学与河外天体物理 · 物理学 2014-06-12 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis

We study algebraic type N spacetimes in the extended new massive gravity (NMG), considering both the Born-Infeld model (BI-NMG) and the model of NMG with any finite order curvature corrections. We show that for these spacetimes, the field…

高能物理 - 理论 · 物理学 2015-06-03 Haji Ahmedov , Alikram N. Aliev

Gaussian quadrature rules are a classical tool for the numerical approximation of integrals with smooth integrands and positive weight functions. We derive and expicitly list asymptotic expressions for the points and weights of Gaussian…

数值分析 · 数学 2022-08-25 Peter Opsomer , Daan Huybrechs

We consider the recent calculation gr-qc/0508124 of the graviton propagator in the spinfoam formalism. Within the 3d toy model introduced in gr-qc/0512102, we test how the spinfoam formalism can be used to construct the perturbative…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Etera R. Livine , Simone Speziale , Joshua L. Willis

In this note we show how the solutions to the scattering equations in the NMHV sector fully decompose into subsectors in the $z\to \infty$ limit of a Risager deformation. Each subsector is characterized by the punctures that coalesce in the…

高能物理 - 理论 · 物理学 2024-01-12 Dawit Belayneh , Freddy Cachazo , Pablo Leon

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

高能物理 - 理论 · 物理学 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

We Study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including…

高能物理 - 理论 · 物理学 2009-10-31 E. J. Copeland , J. A. Gray , P. M. Saffin

We discuss the Palatini formulation of modified gravity including a Yukawa-like term. It is shown that in this formulation, the Yukawa term offers an explanation for the current exponential accelerated expansion of the universe and reduces…

广义相对论与量子宇宙学 · 物理学 2008-12-18 K. Atazadeh , H. R. Sepangi

We propose a mechanism to evade the Lyth bound in models of inflation. We minimally extend the conventional single-field inflation model in general relativity (GR) to a theory with non-vanishing graviton mass in the very early universe. The…

宇宙学与河外天体物理 · 物理学 2015-11-18 Chunshan Lin , Misao Sasaki

Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D dimensions. Using unitarity methods, such…

高能物理 - 理论 · 物理学 2020-01-29 N. E. J. Bjerrum-Bohr , Andrea Cristofoli , Poul H. Damgaard , Humberto Gomez

We consider gravity in three dimensions with an arbitrary number of curvature corrections. We show that such corrections are always functions of only three independent curvature invariants. Demanding the existence of a holographic c-theorem…

高能物理 - 理论 · 物理学 2010-11-11 Miguel F. Paulos

In this article, we go on to discuss about a series of infinite dimensional extension of the theorems in [3], [5], [6]. We also prove a similar Geraghty type constructions for Fisher ([5]) in infinite dimension, using similar techniques as…

一般拓扑 · 数学 2021-05-04 Rivu Bardhana , Cenep Ozel , Liliana Guran

We present an alternative and more direct construction of the non-supersymmetric D1-D5-P supergravity solutions found by Jejjala, Madden, Ross and Titchener. We show that these solutions --- with all three charges and both rotations turned…

高能物理 - 理论 · 物理学 2016-08-09 Bidisha Chakrabarty , Jorge V. Rocha , Amitabh Virmani

The gauge-gravity duality can be used to relate connected multi-point graviton functions to connected multi-point correlation functions of the stress tensor of a strongly coupled fluid. Here, we show how to construct the connected graviton…

高能物理 - 理论 · 物理学 2015-06-12 Ram Brustein , A. J. M. Medved

Recently, corrections to the standard Einstein-Hilbert action are proposed to explain the current cosmic acceleration in stead of introducing dark energy. We discuss the Palatini formulation of the modified gravity with a $\ln R$ term…

高能物理 - 理论 · 物理学 2009-11-10 Xin-He Meng , Peng Wang

We consider the refined Schur superconformal index of 4d $\mathcal N=4$ $U(N)$ SYM and the first term of its giant-graviton expansion, first predicted in arXiv:2001.11667 using indirect superconformal algebra considerations and analytic…

高能物理 - 理论 · 物理学 2024-02-20 Matteo Beccaria , Alejandro Cabo-Bizet

The $\frac12$-BPS indices of $\mathcal{N}=4$ Super Yang-Mills theory with unitary, orthogonal, and symplectic groups all admit $q$-expansions suggesting an interpretation in terms of D-branes in the dual bulk AdS$_5$ string theories. We…

高能物理 - 理论 · 物理学 2025-01-24 Giorgos Eleftheriou , Sameer Murthy , Martí Rosselló

The corrections to holographic entanglement entropy from bulk quantum fields in a classical gravitational background are now well understood. They lead, in particular, to unitary Page curves for evaporating black holes. However, the correct…

高能物理 - 理论 · 物理学 2025-06-18 Sean Colin-Ellerin , Guanda Lin , Geoff Penington

We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we introduce an $S$-matrix associated to this resummation that…

高能物理 - 理论 · 物理学 2023-01-11 J. A. Oller

The g-function is a measure of degrees of freedom associated to a boundary of two-dimensional quantum field theories. In integrable theories, it can be computed exactly in a form of the Fredholm determinant, but it is often hard to evaluate…

高能物理 - 理论 · 物理学 2020-10-28 Joao Caetano , Shota Komatsu