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We study the Energy Conditions in modified $f(G)$ gravity, with $G$ being the topological Gauss-Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Francesco Bajardi

The present effort addresses the question about the existence of a well-defined thermodynamic limit for the astrophysical systems with the following power law form: to tend the number of particles, N, the total energy, E, and the…

Astrophysics · Physics 2007-05-23 L. Velazquez , F. Guzman

A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly correlated particle distributions and a phase of strongly…

Statistical Mechanics · Physics 2009-10-31 Ofer Biham , Ofer Malcai , Daniel A. Lidar , David Avnir

We study the Newtonian cosmology taking into account the leading classical and quantum corrections of order $\mathcal{O}(G^{2})$ in the Newtonian potential. We first derive the modified Friedmann equations starting from the non-relativistic…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Rituparna Mandal , Sunandan Gangopadhyay , Amitabha Lahiri

Newton's law gets modified in the presence of a cosmological constant by a small repulsive term (antigarvity) that is proportional to the distance. Assuming a value of the cosmological constant consistent with the recent SnIa data ($\Lambda…

Astrophysics · Physics 2014-10-13 M. Axenides , E. G. Floratos , L. Perivolaropoulos

Inspired by string theory ideas, we probe quantum entanglement from the gravitational potential energy. Concretely, we reconsider the study of quantum corrections to the Newtonian potential energy by treating a massive two-particle system…

Quantum Physics · Physics 2024-01-26 A. Belhaj , S. E. Ennadifi , L. Jebli

We calculate ab initio the gravitational potential energy per unit area for a gravitationally coupled multi-component galactic disk of stars and gas, which is given as the integration over vertical density distribution, vertical…

Astrophysics of Galaxies · Physics 2022-07-20 Suchira Sarkar , Chanda J. Jog

In recent years there has been a developing realization that the interesting large--scale structure of voids, ``pancakes", and filaments in the Universe is a consequence of the efficacy of an approximation scheme for cosmological…

Astrophysics · Physics 2009-09-25 Adrian L. Melott , Jennifer L. Pauls

We propose a new marked two-point correlation function weighted by the global gravitational potential as a probe for testing gravity models. Using the LCDM model based on general relativity (GR) as a reference, we investigate two…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Yizhao Yang , Yu Yu , Pengjie Zhang

We examine the peculiar velocity distribution function of galaxies in cosmological many-body gravitational clustering. Our statistical mechanical approach derives a previous basic assumption and generalizes earlier results to galaxies with…

Astrophysics · Physics 2009-11-10 Bernard Leong , William Saslaw

This pedagogical review addresses several issues related to statistical description of gravitating systems in both static and expanding backgrounds, focusing on the latter. After briefly reviewing the results for the static background, I…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

Corrections to the Newtonian gravitational potential from general relativity can be derived in a combined expansion around flat spacetime and a small velocity of the interacting bodies. We present the calculation of the static five-loop…

General Relativity and Quantum Cosmology · Physics 2019-12-09 Johannes Blümlein , Andreas Maier , Peter Marquard

We present an in-depth investigation of galaxy clustering based on a new suite of realistic large-box galaxy-formation simulations in $f(R)$ gravity, with a subgrid physics model that has been recalibrated to reproduce various observed…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-03 Michael Collier , Sownak Bose , Baojiu Li

We propose a relativistic gravitational theory leading to modified Newtonian dynamics, a paradigm that explains the observed universal galactic acceleration scale and related phenomenology. We discuss phenomenological requirements leading…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-18 Constantinos Skordis , Tom Zlosnik

Clusters of galaxies offer a robust test bed for probing the nature of dark matter that is insensitive to the assumption of the gravity theories. Both Modified Newtonian Dynamics (MOND) and General Relativity (GR) would require similar…

Astrophysics · Physics 2009-11-13 Priyamvada Natarajan , Hongsheng Zhao

The evolution of galaxy clusters can be affected by the repulsion described by the cosmological constant. This conclusion is reached within the modified weak-field General Relativity approach where the cosmological constant \Lambda enables…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-14 V. G. Gurzadyan , A. A. Kocharyan , A. Stepanian

Unopposed radiative cooling in clusters of galaxies results in excessive mass deposition rates. However, the cool cores of galaxy clusters are continuously heated by thermal conduction and turbulent heat diffusion due to minor mergers or…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 M. Ruszkowski , S. Peng Oh

Classical gravitation is treated from the point of view of non-equilibrium thermodynamics. Gravitational potential is a thermodynamic state variable in a weakly nonlocal treatment. Entropy production is calculated and the simplest solution…

Statistical Mechanics · Physics 2019-05-28 P. Ván , S. Abe

Non-linear gravitational clustering in a universe dominated by dark energy, modelled by a `quintessence' scalar field, and cold dark matter with space-time varying mass is studied. Models of this type, where the variable mass is induced by…

Astrophysics · Physics 2009-11-07 S. Matarrese , M. Pietroni , C. Schimd

Due to their late formation in cosmic history, clusters of galaxies are not fully in hydrostatic equilibrium and the gravitational pull of their mass at a given radius is expected not to be entirely balanced by the thermal gas pressure.…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 F. Vazza , M. Angelinelli , T. W. Jones , D. Eckert , Brüggen M. , Brunetti G. , Gheller C
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