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The exact static and spherically symmetric solutions of the vacuum field equations for a Higgs Scalar-Tensor theory (HSTT) are derived in Schwarzschild coordinates. It is shown that in general there exists no Schwarzschild horizon and that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nils M. Bezares-Roder , Hemwati Nandan , Heinz Dehnen

We examine the interactions of a black hole with a massless scalar field using a coordinate system which extends ingoing Eddington-Finkelstein coordinates to dynamic spherically symmetric-spacetimes. We avoid problems with the singularity…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Robert L. Marsa , Matthew W. Choptuik

We propose a general method for solving exactly the static field equations of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field. Our method starts from an ansatz for the scalar field profile, and determines, together…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Mariano Cadoni , Salvatore Mignemi , Matteo Serra

We discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

High Energy Physics - Theory · Physics 2014-11-18 Shin'ichi Imai , Naoki Sasakura

A large class of solutions of the Einstein-conformal scalar equations in D=2+1 and D=3+1 is identified. They describe the collisions of asymptotic conformal scalar waves and are generated from Einstein-minimally coupled scalar spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-17 C. Klimčík , P. Kolník

In General Relativity, Birkhoff's theorem asserts that any spherically symmetric vacuum solution must be static and asymptotically flat. In this paper, we study the validity of Birkhoff's theorem for a broad class of modified gravity…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Rajes Ghosh , Akash K Mishra , Avijit Chowdhury

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

Asymptotically locally AdS and asymptotically flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term with a cosmological constant, a real scalar field with a non…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Adolfo Cisterna , Cristián Erices

We investigate the phase-space of a flat FRW universe including both a scalar field, $\phi,$ coupled to matter, and radiation. The model is inspired in scalar-tensor theories of gravity, and thus, related with $F(R)$ theories through…

General Relativity and Quantum Cosmology · Physics 2010-09-06 Genly Leon , Pavel Silveira , Carlos R. Fadragas

In the framework of the dynamical Chern-Simons gravity, we study the scalar field perturbations of the Reissner-Nordstr\"{o}m-Melvin spacetime, which describes a charged black hole permeated by a uniform magnetic field. In the presence of…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Shao-Jun Zhang , Bin Wang , Eleftherios Papantonopoulos , Anzhong Wang

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained. We considered Freedman-Robertson-Walker (FRW) space-time as an…

General Relativity and Quantum Cosmology · Physics 2019-04-22 B. Saha

The nonlinear instability of anti-de Sitter spacetime has recently been established with the striking result that generic initial data collapses to form black holes. This outcome suggests that confined matter generically collapses, and that…

General Relativity and Quantum Cosmology · Physics 2014-03-05 Hirotada Okawa , Vitor Cardoso , Paolo Pani

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

We investigate the spherically-symmetric gravitational collapse of a massless scalar field in the framework of a type-II minimally modified gravity theory called VCDM. This theory propagates only two local physical degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Atabak Fathe Jalali , Paul Martens , Shinji Mukohyama

We prove under certain assumptions no-hair theorems for non-canonical self-gravitating static multiple scalar fields in spherically symmetric spacetimes. It is shown that the only static, spherically symmetric and asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Daniela Doneva , Stoytcho Yazadjiev

In 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of self-similar spacetimes, called relativistic Larson-Penston solutions, that can be suitably flattened to obtain examples of spacetimes that…

Analysis of PDEs · Mathematics 2021-12-22 Yan Guo , Mahir Hadzic , Juhi Jang

We study a free scalar field $\phi$ in a fixed curved background spacetime subject to a higher derivative field equation of the form $F(\Box)\phi =0$, where $F$ is a polynomial of the form $F(\Box)= \prod_i (\Box-m_i^2)$ and all masses…

High Energy Physics - Theory · Physics 2019-11-20 G. W. Gibbons , C. N. Pope , Sergey Solodukhin

We derive quantum kinetic equations for scalar fields undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). Our central finding is that in systems with certain space-time symmetries,…

High Energy Physics - Phenomenology · Physics 2014-11-18 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

Treating the gravitational force on the same footing as the electroweak and strong forces, we present a quantum field theory of gravity based on spin and scaling gauge symmetries. A biframe spacetime is initiated to describe such a quantum…

High Energy Physics - Theory · Physics 2016-01-20 Yue-Liang Wu

In this work we investigate the stability and instability properties of a class of naked singularity spacetimes. The first rigorous study of naked singularity formation in the spherically symmetric Einstein-scalar field system was due to…

General Relativity and Quantum Cosmology · Physics 2022-12-09 Jaydeep Singh