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Relativistic field theory for a vector field on a curved space-time is considered assuming that the Lagrangian field density is quadratic and contains field derivatives of first order at most. By applying standard variational calculus, the…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Roberto Dale , Alicia Herrero , Juan Antonio Morales-Lladosa

In this paper we present a complete and detailed analysis of the calculation of both the Wightman function and the vacuum expectation value of the energy-momentum tensor that arise from quantum vacuum fluctuations of massive and massless…

High Energy Physics - Theory · Physics 2018-09-12 H. F. Mota , E. R. Bezerra de Mello , K. Bakke

By considering Hadamard vacuum states, we first construct the two-point functions associated with Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes. Then, from the general formalism developed in [A. Belokogne…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Andrei Belokogne , Antoine Folacci , Julien Queva

In this study, we examine the energy-momentum squared modified theory of gravity, where the squared term $T_{\mu\nu}T^{\mu\nu}$ is incorporated into the conventional gravitational Lagrangian. This modification aims to account for dark…

General Relativity and Quantum Cosmology · Physics 2025-02-03 H. R. Fazlollahi , H. Velten , H. Shojaie

We study the dynamics of odd-parity perturbations on a static and spherically symmetric black hole background with a timelike vector field based on the effective field theory (EFT) approach. We derive the quadratic Lagrangian written in…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Shogo Tomizuka , Hajime Kobayashi , Naritaka Oshita , Kazufumi Takahashi , Shinji Mukohyama

We address some of the issues that appear in the study of back reaction in Schwarzschild backgrounds. Our main object is the effective energy-momentum tensor (EEMT) of gravitational perturbations. It is commonly held that only…

General Relativity and Quantum Cosmology · Physics 2015-06-25 L. R. Abramo , F. Finelli

Background fields of electromagnetic and gravitational type emerge in the low kinetic energy limit of any regular Lagrangian system and, in particular, in the corresponding limit of any spacetime theory in which the free motion of test…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Paolo Maraner

The aim of this research is to investigate the vacuum energy-momentum tensor of a quantized, massive, nonminimally coupled scalar field induced by a uniform electric field background in a four-dimensional de Sitter spacetime ($\dsf$). We…

High Energy Physics - Theory · Physics 2023-06-14 Omid Gholizadeh Meimanat , Ehsan Bavarsad

The vacuum expectation values of the field squared and the energy-momentum tensor are investigated for a scalar field with Dirichlet boundary conditions and for the electromagnetic field inside a wedge with a coaxial cylindrical boundary.…

High Energy Physics - Theory · Physics 2011-06-10 A. A. Saharian

A Lagrangian formalism is used to study the motion of a spinning massive particle in Friedmann--Robertson--Walker and G\"odel spacetimes, as well as in a general Schwarzschild-like spacetime and in static spherically symmetric conformally…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Nicolas Zalaquett , Sergio A. Hojman , Felipe A. Asenjo

We present detailed calculations for quantum-gravitational corrections to the power spectra of gauge-invariant scalar and tensor perturbations during inflation. This is done by performing a semiclassical Born-Oppenheimer type of…

General Relativity and Quantum Cosmology · Physics 2016-05-19 David Brizuela , Claus Kiefer , Manuel Kraemer

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation…

High Energy Physics - Phenomenology · Physics 2024-01-24 Samapan Bhadury , Arpan Das , Wojciech Florkowski , Gowthama K. K. , Radoslaw Ryblewski

We consider the effect of backreaction of quantized massive fields on the metric of extreme black holes (EBH). We find the analytical approximate expression for the stress-energy tensor for a scalar (with an arbitrary coupling), spinor and…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. Matyjasek , O. B. Zaslavskii

The vacuum expectation values of the energy--momentum tensor and the fermionic condensate are analyzed for a massive spinor field obeying the MIT bag boundary condition on a cylindrical shell in the cosmic string spacetime. Both regions…

High Energy Physics - Theory · Physics 2008-12-18 E. R. Bezerra de Mello , V. B. Bezerra , A. A. Saharian , A. S. Tarloyan

The cosmological constant appearing in the Wheeler-De Witt equation is considered as an eigenvalue of the associated Sturm-Liouville problem. A variational approach with Gaussian trial wave functionals is used as a method to study such a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Remo Garattini

The stress-energy tensor for the massless spin 1/2 field is numerically computed outside and on the event horizons of both charged and uncharged static non-rotating black holes, corresponding to the Schwarzschild, Reissner-Nordstrom and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric D. Carlson , William H. Hirsch , Benedikt Obermayer , Paul R. Anderson , Peter B. Groves

We construct a Lagrangian of Weyl spinors and gauge fields, which is invariant under the action of equivalent local transformations on the spinor algebra representations. A model of vacuum with a nontrivial gauge strength-tensor setting a…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev

For a quantum field in a curved background the choice of the vacuum state is crucial. We exhibit a vacuum state in which the expectation values of the energy and pressure allow an intuitive interpretation. We apply this general result to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Carmen Molina-Paris

We present a (hopefully) novel calculation of the vacuum energy in expanding FLRW spacetimes based on the renormalization of quantum field theory in non-zero backgrounds. We compute the renormalized effective action up to the $2-$point…

High Energy Physics - Theory · Physics 2015-06-16 Badis Ydri , Adel Bouchareb

We study the backreaction of quantum fields in the Boulware vacuum state on the Schwarzschild geometry, using the Riegert--Mottola--Vaulin renormalized stress-energy tensor derived from the conformal anomaly. An order-reduction procedure is…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Shinji Mukohyama , Kazumasa Okabayashi