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In scalar-tensor theories, spontaneous scalarization is a phase transition that can occur in ultra-dense environments such as neutron stars. The scalar field develops a non-trivial configuration once the stars exceeds a compactness…

General Relativity and Quantum Cosmology · Physics 2018-03-21 Nicola Franchini , Andrew Coates , Thomas P. Sotiriou

On a compact manifold with boundary, the map consisting of the scalar curvature in the interior and the mean curvature on the boundary is a local surjection at generic metrics. We prove that this result may be localized to compact…

Differential Geometry · Mathematics 2025-12-02 Hongyi Sheng

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

High Energy Physics - Theory · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

We construct a variety of inner models exhibiting features usually obtained by forcing over universes with large cardinals. For example, if there is a supercompact cardinal, then there is an inner model with a Laver indestructible…

Logic · Mathematics 2011-11-04 Arthur Apter , Victoria Gitman , Joel David Hamkins

Scalar-tensor theories of gravity are known to allow significant deviations from general relativity through various astrophysical phenomena. In this paper, we formulate a scalar-connection gravity by setting up scalars and connection…

General Relativity and Quantum Cosmology · Physics 2021-01-21 Hemza Azri , Salah Nasri

The gravitational field equations on cosmological scales are obtained by averaging the Einstein field equations of general relativity. By assuming spatial homogeneity and isotropy on the largest scales, the local inhomogeneities affect the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. A. Coley

A scalar-tensor theory of gravity is formulated in which $G$ and particle masses are allowed to vary. The theory yields a globally static cosmological model with no evolutionary timescales, no cosmological coincidences, and no flatness and…

General Physics · Physics 2015-10-01 Meir Shimon

We investigate whether there are any cosmological evidences for a scalar field with a mass and coupling to matter which change accordingly to the properties of the astrophysical system it "lives in", without directly focusing on the…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 D. F. Mota , V. Salzano , S. Capozziello

`Galaxy groups' have hardly been realised as a separate class of objects with specific characteristics in the structural hierarchy. The presumption that the self-similarity of dark matter structures is a valid prescription for the baryonic…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-01 S. Paul , R. S. John , P. Gupta , H. Kumar

There has been enormous progress in the last few years in designing neural networks that respect the fundamental symmetries and coordinate freedoms of physical law. Some of these frameworks make use of irreducible representations, some make…

Machine Learning · Computer Science 2023-02-09 Soledad Villar , David W. Hogg , Kate Storey-Fisher , Weichi Yao , Ben Blum-Smith

The spontaneous scalarization during the stellar core collapse in the massive scalar-tensor theories of gravity introduces extra polarizations (on top of the plus and cross modes) in gravitational waves, whose amplitudes are determined by…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Da Huang , Chao-Qiang Geng , Hao-Jui Kuan

Causal rigid particles whose action includes an {\it arbitrary} dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, including {\it causal tachyonic} ones. The Hamiltonian…

High Energy Physics - Theory · Physics 2009-10-22 Jan Govaerts

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Hajime Sotani

It is shown that flat spacetime can be dressed with a real scalar field that satisfies the nonlinear Klein-Gordon equation without curving spacetime. Surprisingly, this possibility arises from the nonminimal coupling of the scalar field…

High Energy Physics - Theory · Physics 2007-05-23 Eloy Ayón-Beato , Cristián Martínez , Ricardo Troncoso , Jorge Zanelli

A stability analysis of a spherically symmetric star in scalar-tensor theories of gravity is given in terms of the frequencies of quasi-normal modes. The scalar-tensor theories have a scalar field which is related to gravitation. There is…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Tomohiro Harada

Matter bounces refer to scenarios wherein the universe contracts at early times as in a matter dominated epoch until the scale factor reaches a minimum, after which it starts expanding. While such scenarios are known to lead to scale…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Rathul Nath Raveendran , Debika Chowdhury , L. Sriramkumar

We describe scalar-bimetric theories where the dynamics of the Universe are governed by two separate metrics, each with an Einstein-Hilbert term. In this setting, the baryonic and dark matter components of the Universe couple to metrics…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Philippe Brax , Patrick Valageas

We systematically examine the compactness of neutron stars as Tolman VII solutions in scalar-tensor theory of gravity. As a result, when the coupling constant is confined to values provided by astronomical observations we show that the…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Hajime Sotani , Kostas D. Kokkotas

The generalized Chaplygin gas model represents an attempt to unify dark matter and dark energy. It is characterized by a fluid with an equation of state $p = - A/\rho^\alpha$. It can be obtained from a generalization of the DBI action for a…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 J. C. Fabris , T. C. C. Guio , M. Hamani Daouda , O. F. Piattella

Different extended objects can fall in different ways, depending on their internal structures. Some motions are nevertheless impossible, regardless of internal structure. This paper derives universal constraints on extended-body motion,…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Abraham I. Harte , David Dwyer
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