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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…

Cosmology and Nongalactic Astrophysics · Physics 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…

High Energy Physics - Theory · Physics 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…

Numerical Analysis · Mathematics 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…

General Relativity and Quantum Cosmology · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

General Relativity and Quantum Cosmology · Physics 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…

Cosmology and Nongalactic Astrophysics · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

General Topology · Mathematics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Theory · Physics 2020-10-28 Joao Caetano , Shota Komatsu