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As a low energy effective field theory, classical General Relativity receives an infrared relevant modification from the conformal trace anomaly of the energy-momentum tensor of massless, or nearly massless, quantum fields. The local form…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Emil Mottola

The growth of the density fluctuations is considered to be an important cosmological test. In the standard model, for a matter dominated universe, the growth of the density perturbations evolves with redshift z like (1/{1+z))^s with s=1.…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-17 Andre Maeder , Vesselin G. Gueorguiev

In the standard picture of cosmological structure formation, the Universe we see today is evolved under the gravitational instability from tiny random fluctuations. In this talk I discuss the onset of non-linearity in the large scale…

Astrophysics · Physics 2007-05-23 Lung-Yih Chiang

I review the state of the art of the investigation on the structure formation in $f(R)$-gravity based on the Covariant and Gauge Invariant approach to perturbations. A critical analysis of the results, in particular the presence of…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Sante Carloni

From modern observations of gravitational interactions, it can be inferred that there is much left to discover about the fundamental gravitational field. Since the advent of the General Theory of Relativity over a century ago, we have come…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Ronald Gamble, , K. M. Flurchick

Recent work in the literature has found a suppression or, instead, an enhancement of the Cosmic Microwave Background power spectrum in quantum gravity, although the effect is too small to be observed, in both cases. The present paper…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Donato Bini , Giampiero Esposito

We explore the generalized $f(R,T)$ modified theory of gravity, where the gravitational Lagrangian is a function of Ricci scalar $R$ and the trace of the energy-momentum tensor $T$. We derive modified field equations to the linear order of…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Mahnaz Asghari , Ahmad Sheykhi

We investigate the behavior of a dynamical scalar field on a fixed Kerr background in Kerr-Schild coordinates using a 3+1 dimensional spectral evolution code, and we measure the power-law tail decay that occurs at late times. We compare…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mark A. Scheel , Adrienne L. Erickcek , Lior M. Burko , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

The most popular tools for analysing the large scale distribution of galaxies are second-order spatial statistics such as the two-point correlation function or its Fourier transform, the power spectrum. In this review, we explain how our…

Astrophysics · Physics 2015-05-13 Vicent J. Martinez

We extend the scalar-tensor reconstruction techniques for classical cosmology frameworks, in the context of loop quantum cosmology. After presenting in some detail how the equations are generalized in the loop quantum cosmology case, we…

General Relativity and Quantum Cosmology · Physics 2016-08-24 V. K. Oikonomou

We derive the evolution equation of growth factor for the matter over-dense perturbation in $f(T)$ gravity. For instance, we investigate its behavior in power law model at small redshift and compare it to the prediction of $\Lambda$CDM and…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Rui Zheng , Qing-Guo Huang

The scalar perturbation induced gravitational waves are a probe of the primordial density perturbation spectrum on small scales. In this paper, we show that they can also probe the thermal history of the universe. We assume the universe…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Guillem Domènech , Shi Pi , Misao Sasaki

We present an empirical study in the geometric task of learning interatomic potentials, which shows equivariance matters even more at larger scales; we show a clear power-law scaling behaviour with respect to data, parameters and compute…

Machine Learning · Computer Science 2026-05-06 Khang Ngo , Siamak Ravanbakhsh

We explore the covariance of redshift-space matter power spectra after a standard density-field reconstruction. We derive perturbative formula of the covariance at the tree-level order and find that the amplitude of the off-diagonal…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Chiaki Hikage , Ryuichi Takahashi , Kazuya Koyama

Computer simulations of first-order relaxation processes show that the spatial configurations of the system acquire an invariant shape once the stationary regime is attained. Inspired by them we find that, in any first-order relaxation…

Other Condensed Matter · Physics 2015-06-25 A. Fondado , J. Mira , J. Rivas

The large-scale structure of the Universe and its evolution over time contains an abundance of cosmological information. One way to unlock this is by measuring the density and momentum power spectrum from the positions and peculiar…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-03 Fei Qin , Cullan Howlett , David Parkinson

We study models of interacting fermions in one dimension to investigate the crossover from integrability to non-integrability, i.e., quantum chaos, as a function of system size. Using exact diagonalization of finite-sized systems, we study…

Strongly Correlated Electrons · Physics 2015-06-17 Ranjan Modak , Subroto Mukerjee , Sriram Ramaswamy

The cosmological models based on teleparallel gravity with nonzero torsion are considered. To investigate the evolution of this theory, we consider the phase-space analysis of the $f(T)$ theory. It shows when the tension scalar can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Yi Zhang , Hui Li , Yungui Gong , Zong-Hong Zhu

The symmetric teleparallel theory offers an alternative gravitational formulation which can elucidate events in the early and late universe without requiring the physical existence of dark matter or dark energy. In this formalism, $f(Q, C)$…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Ganesh Subramaniam , Avik De , Tee-How Loo , Yong Kheng Goh

We extend a generic class of systems which have previously been shown to spontaneously develop scaling (power law) distributions of their elementary degrees of freedom. While the previous systems were linear and exploded exponentially for…

adap-org · Physics 2009-10-28 S. Solomon , M. Levy
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