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An additional variation of the Einstein-Hilbert action with respect to the Planck mass provides a constraint on the average Ricci scalar that prevents vacuum energy from gravitating. Consideration of the evolution of the inhomogeneous…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Lucas Lombriser

The M\"ossbauer rotor effect recently gained a renewed interest due to the discovery and explanation of an additional effect of clock synchronization which has been missed for about 50 years, i.e. starting from a famous book of Pauli, till…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Christian Corda

The observed power spectrum in redshift space appears distorted due to the peculiar motion of galaxies, known as redshift-space distortions (RSD). While all the effects in RSD are accounted for by the simple mapping formula from real to…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-25 Yong-Seon Song , Yi Zheng , Atsushi Taruya , Minji Oh

Quantum Einstein Gravity (QEG), nonperturbatively renormalized by means of a certain asymptotically safe renormalization group (RG) trajectory, is explored by solving its scale dependent effective field equations and embedding the family of…

High Energy Physics - Theory · Physics 2023-01-18 Renata Ferrero , Martin Reuter

We develop a framework to compute the redshift space power spectrum (PS), with kernels beyond Einstein-de Sitter (EdS), that can be applied to a wide variety of generalized cosmologies. We build upon a formalism that was recently employed…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Alejandro Aviles , Georgios Valogiannis , Mario A. Rodriguez-Meza , Jorge L. Cervantes-Cota , Baojiu Li , Rachel Bean

We study the approximability of general convex sets in $\mathbb{R}^n$ by intersections of halfspaces, where the approximation quality is measured with respect to the standard Gaussian distribution $N(0,I_n)$ and the complexity of an…

Computational Complexity · Computer Science 2023-11-16 Anindya De , Shivam Nadimpalli , Rocco A. Servedio

We present a new model for the redshift-space power spectrum of galaxies and demonstrate its accuracy in modeling the monopole, quadrupole, and hexadecapole of the galaxy density field down to scales of $k = 0.4 \ h\mathrm{Mpc}^{-1}$. The…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-18 Nick Hand , Uros Seljak , Florian Beutler , Zvonimir Vlah

Building upon the work of Brendle, Marques and Neves on the construction of counterexamples to Min-Oo's conjecture, we exhibit deformations of the de Sitter-Schwarzschild space of dimension $n\geq 3$ satisfying the dominant energy condition…

Differential Geometry · Mathematics 2014-11-07 C. Tiarlos Cruz , Levi Lopes de Lima , José Fabio Montenegro

Redshift-space distortions (RSD) offer an attractive method to measure the growth of cosmic structure on large scales, and combining with the measurement of the cosmic expansion history, it can be used as cosmological tests of gravity. With…

Cosmology and Nongalactic Astrophysics · Physics 2014-10-22 Atsushi Taruya , Kazuya Koyama , Takashi Hiramatsu , Akira Oka

The late time accelerated expansion of the Universe demands that even in local galactic-scales it is desirable to study astrophysical phenomena, particularly relativistic accretion related phenomena in massive galaxies or in galaxy mergers…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Tamal Sarkar , Shubhrangshu Ghosh , Arunava Bhadra

A general formula for the correlation function in redshift space is derived in linear theory. The formula simultaneously includes wide-angle effects and cosmological distortions. The formula is applicable to any pair with arbitrary angle…

Astrophysics · Physics 2009-10-31 Takahiko Matsubara

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Clifford M. Will

We introduce a spatial averaging scheme and use it to study the evolution of spatial averages in large-scale simulations of cosmological structure formation performed with the Einstein Toolkit. The averages are performed on the spatial…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-15 Alexander Oestreicher , Sofie Marie Koksbang

Using an approach similar to arXiv:2409.15460, we give a new proof of the nonlinear stability of de Sitter space as a solution to the Einstein vacuum equations with positive cosmological constant in $n+1$ dimensions, with $n\geq3$. Using…

Analysis of PDEs · Mathematics 2026-05-06 Maurus Leimbacher

We put forward the idea that all the theoretically consistent models of gravity have contributions to the observed gravity interaction. In this formulation, each model comes with its own Euclidean path-integral weight where general…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Nima Khosravi

A comparative study of the properties of the anelastic and subseismic approximations is presented. The anelastic approximation is commonly used in astrophysics in compressible convection studies whereas the subseismic approximation comes…

Astrophysics · Physics 2008-11-26 Boris Dintrans , Michel Rieutord

An important and long-standing puzzle in the history of modern physics is the gross inconsistency between theoretical expectations and cosmological observations of the vacuum energy density, by at least 60 orders of magnitude, otherwise…

Cosmology and Nongalactic Astrophysics · Physics 2014-08-25 Ali Narimani , Niayesh Afshordi , Douglas Scott

The analysis of axisymmetric spacetimes, dynamical or stationary, is usually made in the reduced space. We prove here a stability property of the quo- tient space and use it together with minimal surface techniques to constraint the shape…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Martin Reiris

We investigate the impact of different observational effects affecting a precise and accurate measurement of the growth rate of fluctuations from the anisotropy of clustering in galaxy redshift surveys. We focus on redshift measurement…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-23 Federico Marulli , Davide Bianchi , Enzo Branchini , Luigi Guzzo , Lauro Moscardini , Raul E. Angulo

We present a comparative analysis of observational low-redshift background constraints on three candidate models for explaining the low-redshift acceleration of the universe. The generalized coupling model by Feng and Carloni and the scale…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-22 C. B. D. Fernandes , C. J. A. P. Martins , B. A. R. Rocha