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A typical geometry extracted from the path integral of a quantum theory of gravity might be quite complicated in the UV region. Even if such a configuration is not physical, it may be of interest to understand the details of its nature,…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Jan Ambjørn , Zbigniew Drogosz , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Romesh K. Kaul

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Viqar Husain , Daniel R. Terno

The goal of this paper is to study SdS space-time and its gravitational field with consideration of the canonical form and invariants of the curvature tensor. The characteristic of $\lambda$-tensor identifies the type of gravitational…

General Relativity and Quantum Cosmology · Physics 2020-06-18 H. M. Manjunatha , S. K. Narasimhamurthy , Z. Nekouee

The behavior of fundamental fields in strong gravity or nontrivial environments is important for our understanding of nature. This problem has interesting applications in the context of dark matter, of dark energy physics or of quantum…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Taishi Ikeda , Vitor Cardoso , Miguel Zilhão

We study dynamics of scalar fields on a large class of geometries described by integrable sigma models. Although equations of motion are not separable due to absence of isometries and Killing tensors, we completely determine the spectra…

High Energy Physics - Theory · Physics 2018-12-26 Oleg Lunin , Wukongjiaozi Tian

Spontaneous scalarization is an interesting mechanism for modification of gravity by nonminimal coupling of a scalar field to matter or curvature invariants in the context of scalar-tensor theories, and its onset is signaled by linear…

General Relativity and Quantum Cosmology · Physics 2019-02-21 Hayato Motohashi , Shinji Mukohyama

For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov~I~type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Konstantin Osetrin , Ilya Kirnos , Altair Filippov

We investigate the gravitational waves phenomena in the geometric scalar theory of gravity (GSG) that belongs to a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the…

General Relativity and Quantum Cosmology · Physics 2019-05-16 J. D. Toniato , M. Novello

We consider the appearance of multiple scalar fields in SFT inspired non-local models with a single scalar field at late times. In this regime all the scalar fields are free. This system minimally coupled to gravity can be analyzed…

High Energy Physics - Theory · Physics 2011-01-24 Federico Galli , Alexey S. Koshelev

A simple theoretical model of scalar fields in one spatial dimension with internal symmetry is considered. Assuming the existence of localized classical field configurations, the Schr\"{o}dinger picture is used to describe their quantum…

High Energy Physics - Theory · Physics 2021-01-01 Avtandil Shurgaia

A static and circularly symmetric lens characterized by mass and scalar charge parameters is constructed. For the small values of the scalar charge to the mass ratio, the gravitational lensing is qualitatively similar to the case of the…

Astrophysics · Physics 2011-05-23 K. S. Virbhadra , D. Narasimha , S. M. Chitre

We reconsider some subtle points concerning the relativistic treatment of the gravitational fields generated by spherically symmetric structures.

General Physics · Physics 2007-07-16 Angelo Loinger , Tiziana Marsico

We describe the geomety of a set of scalar fields coupled to gravity. We consider the formalism of a differential Z_2-graded algebra of $2\times 2$ matrices whose elements are differential forms on space-time. The connection and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Mohammedi

We study the gravitational field sourced by localized scalar fields (lumps) in higher-derivative theories of gravity. By working in a static and spherically symmetric configuration, we find the linearized spacetime metrics generated by…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Luca Buoninfante , Yuichi Miyashita

This is the second paper in a series on the dynamics of matter fields in the causal set approach to quantum gravity. We start with the usual expression for the Lagrangian of a charged scalar field coupled to a SU(n) Yang-Mills field, in…

General Relativity and Quantum Cosmology · Physics 2008-07-15 Roman Sverdlov

We discuss scalar field theories with potentials V({\phi})=\k{appa}({\phi}^2)^{{\nu}} for generic {\nu}. We conjecture that these models evade various no-go theorems for scalar fields in four spacetime dimensions.

High Energy Physics - Theory · Physics 2026-02-03 Thomas Curtright , Galib Hoq

We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Yanwen Shang

The closed system of Hamilton equations is derived for all tensor components of the free gravitational field $g_{\alpha\beta}$ and corresponding momenta $\pi^{\gamma\delta}$ in the metric General Relativity. The Hamilton-Jacobi equation for…

General Relativity and Quantum Cosmology · Physics 2019-08-13 Alexei M. Frolov

A supersymmetric model with U(1) gauge symmetry will be discussed in this paper. The model has strict U(1) gauge symmetry and supersymmetry simultaneously. Besides, there is a massive U(1) gauge field contained in the model.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ning Wu