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We consider inverse problems for the Einstein equation with a time-depending metric on a 4-dimensional globally hyperbolic Lorentzian manifold $(M,g)$. We formulate the concept of active measurements for relativistic models. We do this by…

Analysis of PDEs · Mathematics 2013-05-30 Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

We show that the initial field values required to produce inflation in the two fields original hybrid model, and its supergravity F-term extension, do not suffer from any fine-tuning problem, even when the fields are restricted to be…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-07 Sebastien Clesse , Christophe Ringeval , Jonathan Rocher

We investigate energy bounds and the stability of stationary asymptotically flat spacetimes with an ergoregion and no future horizon in the context of Einstein-Maxwell-Scalar field models which naturally arise in Kaluza-Klein and String…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Filipe C. Mena , João M. Oliveira

It is believed that the recent detection of large tensor perturbations strongly favors the inflation scenario in the early universe. This common sense depends on the assumption that Einstein's general relativity is valid at the early…

High Energy Physics - Theory · Physics 2015-06-19 Mingzhe Li

In this paper, we examine chaotic inflation within the context of the energy-momentum squared gravity (EMSG) focusing on the energy-momentum powered gravity (EMPG) that incorporates the functional $f(\mathbb{T}^2)\propto…

General Relativity and Quantum Cosmology · Physics 2023-10-20 Seyed Ali Hosseini Mansoori , Fereshteh Felegary , Mahmood Roshan , Ozgur Akarsu , Mohammad Sami

We consider models of chaotic inflation driven by the real parts of a conjugate pair of Higgs superfields involved in the spontaneous breaking of a grand unification symmetry at a scale assuming its value within MSSM. We combine a…

High Energy Physics - Phenomenology · Physics 2026-01-30 C. Pallis

We investigate the inflationary consequences of the oscillating dark energy model proposed by Ti\'an [\href{https://doi.org/10.1103/PhysRevD.101.063531}{Phys. Rev. D {\bf 101}, 063531 (2020)}], which aims to solve the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-29 S. X. Tian , Zong-Hong Zhu

We study the renormalized energy-momentum tensor (EMT) of the inflaton fluctuations in rigid space-times during the slow-rollover regime for chaotic inflation with a mass term. We use dimensional regularization with adiabatic subtraction…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

Within the framework of the scalar-tensor theory we consider a hill-climbing inflation, in which the effective Planck mass increases in time. We obtain the Einstein frame potential with infinitely long and flat plateau as we approach…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-19 Michal Artymowski , Zygmunt Lalak , Kin-Ya Oda

The Cosmic Microwave Background (CMB) observations results reported by {\it Planck} satellite suggest a plateau characteristic in the flat potential of the inflaton field is favored to drive the Universe's early acceleration. On that note,…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-10 Yogesh , Imtiyaz Ahmad Bhat , Mayukh R. Gangopadhyay

It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials $V$. These potentials are strictly…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alan D. Rendall

We present a time-dependent solution of the Maxwell equations in the Einstein universe, whose electric and magnetic fields, as seen by the stationary observers, are aligned with the Clifford parallels of the $3$-sphere $S^3$. The conformal…

General Relativity and Quantum Cosmology · Physics 2017-05-25 Jarosław Kopiński , José Natário

We prove the linear stability of subextremal Reissner-Nordstr\"om spacetimes as solutions to the Einstein-Maxwell equation. We make use of a novel representation of gauge-invariant quantities which satisfy a symmetric system of coupled wave…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Elena Giorgi

We consider a spherically symmetric characteristic initial value problem for the Einstein-Maxwell-scalar field equations. On the initial outgoing characteristic, the data is assumed to satisfy the Price law decay widely believed to hold on…

General Relativity and Quantum Cosmology · Physics 2011-10-13 Mihalis Dafermos

We study a solution to the Einstein field equations on an eight-dimensional pseudo-Riemannian manifold (a spacetime of four space dimensions and four time dimensions) that exhibits inflation of three of the four space dimensions and…

General Physics · Physics 2015-04-15 Patrick Lee Nash

We observe that the dominant one loop contribution to the graviton propagator in the theory of N (N>>1) light scalar fields \phi_a (with masses smaller than M_{pl}/\sqrt{N}) minimally coupled to Einstein gravity is proportional to N while…

High Energy Physics - Theory · Physics 2012-12-07 A. Ashoorioon , U. Danielsson , M. M. Sheikh-Jabbari

We study a model of power-law inflationary inflation using the Space-Time-Matter (STM) theory of gravity for a five dimensional (5D) canonical metric that describes an apparent vacuum. In this approach the expansion is governed by a single…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Mariano Anabitarte , Mauricio Bellini

Einstein's theory of general relativity models the physical universe using spacetimes which satisfy Einstein's gravitational field equations. To date, Einstein's theory has been enormously successful in modeling observed gravitational…

General Relativity and Quantum Cosmology · Physics 2016-10-21 James Isenberg

We study the inflationary phenomenology of a rescaled Einstein-Gauss-Bonnet gravity. In this framework, the gravitational constant of the Einstein-Hilbert term is rescaled due to effective terms active in the high curvature era. Basically,…

General Relativity and Quantum Cosmology · Physics 2025-03-25 V. K. Oikonomou , Ardit Gkioni , Iason Sdranis , Pyotr Tsyba , Olga Razina

Inflationary era of our Universe can be characterized as semi-classical because it can be described in the context of four-dimensional Einsteins's gravity involving quantum corrections. These string motivated corrections originate from…

General Relativity and Quantum Cosmology · Physics 2021-08-25 S. A. Venikoudis , F. P. Fronimos
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