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We consider cosmology of the recently introduced mimetic matter with higher derivatives (HD). Without HD this system describes irrotational dust - Dark Matter (DM) as we see it on cosmologically large scales. DM particles correspond to the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Leila Mirzagholi , Alexander Vikman

To explain the acceleration of the cosmological expansion researchers have considered an unusual form of mass-energy generically called dark energy. Dark energy has a ratio of pressure over mass density which obeys $w=p/\rho <-1/3$. This…

High Energy Physics - Theory · Physics 2008-12-19 Max Chaves , Douglas Singleton

Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Sergio Dain , María Eugenia Gabach-Clement

The concordance model of cosmology suffers from the major theoretical problems surrounding the observed value and recent emergence of a cosmological constant. In this paper we present a novel approach, which explains more naturally its…

General Relativity and Quantum Cosmology · Physics 2020-03-18 J. Lorca Espiro , M. Le Delliou

It is shown that the vacuum condensate induced by many phenomena behaves as a perfect fluid which, under particular conditions, has zero or negative pressure. In particular, the condensates of thermal states, of fields in curved space and…

High Energy Physics - Theory · Physics 2016-10-28 Antonio Capolupo

We obtain a geometrical inequality involving the ADM mass, the angular momentum and the size of an ordinary, axially symmetric object. We use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature…

General Relativity and Quantum Cosmology · Physics 2017-06-02 Pablo Anglada , M. E. Gabach-Clement , Omar E. Ortiz

Cosmological observations such as structure formation, CMB, and cosmic distance ladder set tight constraints to the amount and nature of dark matter (DM). In particular structure formation strongly constraints not only the amount of energy…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-12 Jorge Mastache , Axel de la Macorra

Taking N-body simulations with volumes and particle densities tuned to match the SDSS DR7 spectroscopic main sample, we assess the ability of current void catalogs (e.g., Sutter et al. 2012b) to distinguish a model of coupled dark…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 P. M. Sutter , Edoardo Carlesi , Benjamin D. Wandelt , Alexander Knebe

Below scales of about 100/h Mpc our universe displays a complex inhomogeneous structure dominated by voids, with clusters of galaxies in sheets and filaments. The coincidence that cosmic expansion appears to start accelerating at the epoch…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-11 David L. Wiltshire

A long-standing topic of interest in the general theory of relativity is the embedding of curved spacetimes in higher-dimensional flat spacetimes. The main purpose this paper is to show that the embedding theory can account for the…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Peter K. F. Kuhfittig , Vance D. Gladney

In this paper, we give a conceptual explanation of dark energy as a small negative residual scalar curvature present even in empty spacetime. This curvature ultimately results from postulating a discrete spacetime geometry, very closely…

Mathematical Physics · Physics 2012-08-16 Aaron Trout

The theory of dark matter superfluidity has emerged as a compelling framework, in which the dynamics are governed by a non-relativistic $P(X)$ superfluid Lagrangian that naturally leads to Modified Newtonian Dynamics (MOND)-like behavior…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Seturumane Tema

Emergent modified gravity is a canonical theory based on general covariance where the spacetime is not fundamental, but rather an emergent object. This feature allows for modifications of the classical theory and can be used to model new…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Erick I. Duque

Wormhole solutions in gravitational theories typically require exotic matter. Here we present a wormhole solution to the field equations of Einsteinian Cubic Gravity -- a phenomenological competitor to general relativity that includes terms…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Mengqi Lu , Jiayue Yang , Robert B. Mann

We want to establish the basic properties of a scale invariant cosmology, that also accounts for the hypothesis of scale invariance of the empty space at large scales. We write the basic analytical properties of the scale invariant…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Andre Maeder

In inhomogeneous cosmology, restricting attention to an irrotational dust matter model, backreaction arises in terms of the deviation of the averaged spatial scalar curvature from a constant-curvature model on some averaging domain $D$,…

General Relativity and Quantum Cosmology · Physics 2019-08-12 Quentin Vigneron , Thomas Buchert

The formation of structure in the Universe offers some of the most powerful evidence in favour of the existence of dark matter in the Universe. We summarize recent work by ourselves and our collaborators, using linear and quasi-linear…

Astrophysics · Physics 2007-05-23 Andrew R Liddle , Pedro T P Viana

We suggest a Lorentz non-invariant generalization of the unimodular gravity theory, which is classically equivalent to general relativity with a locally inert (devoid of local degrees of freedom) perfect fluid having an equation of state…

General Relativity and Quantum Cosmology · Physics 2017-10-02 A. O. Barvinsky , A. Yu. Kamenshchik

Non-conservation of dark matter can lead to late-time cosmic acceleration. This mechanism is known as the matter creation theory and this replaces the need of dark energy and modified gravity theories. We consider a two-fluid system…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Sudip Halder , Jaume de Haro , Supriya Pan , Tapan Saha , Subenoy Chakraborty

A formal correspondence is established between the curvature theory of generalized implicit hypersurfaces, electromagnetism as expressed in terms of exterior differential systems, and thermodynamics. Starting with a generalized implicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. M. Kiehn