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This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected $R^2$ gravity model. We discuss the asymptotically flat wormhole solutions sustained by…

General Relativity and Quantum Cosmology · Physics 2020-05-21 I. Fayyaz , M. Farasat Shamir

We consider some aspects of conformal symmetry in a metric-scalar-torsion system. It is shown that, for some special choice of the action, torsion acts as a compensating field and the full theory is conformally equivalent to General…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. A. Helayel-Neto , A. Penna-Firme , I. L. Shapiro

The generating function for $p_N(n)$, the number of partitions of $n$ into at most $N$ parts, may be written as a product of $N$ factors. We find the behavior of coefficients in the partial fraction decomposition of this product as $N \to…

Number Theory · Mathematics 2015-07-30 Cormac O'Sullivan

In this work we construct charged thin-shell Lorentzian wormholes in dilaton gravity. The exotic matter required for the construction is localized in the shell and the energy conditions are satisfied outside the shell. The total amount of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ernesto F. Eiroa , Claudio Simeone

A self--sustained traversable wormhole is obtained as a vacuum solution of a scale-dependent gravitational theory. Comparison with other approaches towards wormhole self--sustainability are presented, with emphasis on the running of the…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Ernesto Contreras , Pedro Bargueño

The twisted index of 3d $\mathcal{N}=2$ gauge theories on $S^1 \times \Sigma$ has an algebro-geometric interpretation as the Witten index of an effective supersymmetric quantum mechanics. In this paper, we consider the contributions to the…

High Energy Physics - Theory · Physics 2023-06-23 Mathew Bullimore , Andrea E. V. Ferrari , Heeyeon Kim , Guangyu Xu

We consider the holographic computation of two dimensional conformal field theory partition functions on non-orientable surfaces. We classify the three dimensional geometries that give bulk saddle point contributions to the partition…

High Energy Physics - Theory · Physics 2016-09-07 Alexander Maloney , Simon F. Ross

Topological gravity is the reduction of general relativity to flat space-times. A lattice model describing topological gravity is developed starting from a Hamiltonian lattice version of $B\w F$ theory. The extra symmetries not present in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jose A. Zapata

In this work, we consider the possibility that wormhole geometries are sustained by their own quantum fluctuations, in the context of modified dispersion relations. More specifically, the energy density of the graviton one-loop contribution…

General Relativity and Quantum Cosmology · Physics 2012-01-27 Remo Garattini , Francisco S. N. Lobo

The problem of the electrostatics in conical wormholes is revisited, now improving the background geometries with asymptotical flatness. The electric self-force on a point charge placed at different regions in the spacetime of a conical…

General Relativity and Quantum Cosmology · Physics 2020-06-17 E. Rubín de Celis , C. Simeone

In this manuscript, we explore the existence of wormhole solutions exhibiting spherical symmetry in a modified gravity namely $f(R,T)$ theory by involving some aspects of non-commutative geometry. For this purpose, we consider the…

General Relativity and Quantum Cosmology · Physics 2020-04-02 M. Zubair , Saira Waheed , G. Mustafa , Hamood Ur Rehman

Euclidean wormholes are known to encode important non-perturbative effects in the physics of quantum black holes. In this paper, we discuss the slicing of Euclidean wormholes along a time-reflection symmetric slice which treats half of the…

High Energy Physics - Theory · Physics 2025-11-18 Alexandre Belin

We construct new infinite classes of Euclidean supersymmetric solutions of four dimensional minimal gauged supergravity comprising a $U (1) \times U (1)$-invariant asymptotically locally hyperbolic metric on the total space of orbifold line…

High Energy Physics - Theory · Physics 2025-03-13 Matteo Kevin Crisafio , Alessio Fontanarossa , Dario Martelli

Inertial manifold theory, saddle point property and exponential dichotomy have been treated as different topics in the literature with different proofs. As a common feature, they all have the purpose of `splitting' the space to understand…

Spherically symmetric thin-shell wormholes are constructed within the framework of Brans-Dicke gravity. It is shown that, for appropriate values of the Brans-Dicke constant, these wormholes can be supported by matter satisfying the energy…

General Relativity and Quantum Cosmology · Physics 2009-06-26 Ernesto F. Eiroa , Martin G. Richarte , Claudio Simeone

There is a well studied notion of GIT-stability for coherent systems over curves, which depends on a real parameter $\alpha$. For generated coherent systems, there is a further notion of stability derived from Mumford's definition of linear…

Algebraic Geometry · Mathematics 2025-09-11 Abel Castorena , George H. Hitching

In the loop quantum gravity context, there have been numerous proposals to quantize the reduced phase space of a black hole, and develop a classical effective description for its interior which eventually resolves the singularity. However,…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Mehdi Assanioussi , Andrea Dapor , Klaus Liegener

An interesting class of scalar-tensor models, denoted by kinetic gravity braiding (KGB), has recently been proposed. These models contain interactions of the second derivatives of the scalar field that do not lead to additional degrees of…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Roman Korolev , Francisco S. N. Lobo , Sergey V. Sushkov

We consider the complexity of a single-sided AdS black hole as modelled by an end-of-the-world brane. In addition, we present multi-boundary partition functions and matter correlation functions for such a setting. We compute the complexity…

High Energy Physics - Theory · Physics 2022-09-07 Mohsen Alishahiha , Souvik Banerjee , Joshua Kames-King

A new way how to calculate the off-shell renormalization functions within the $R^2$-gravity has been proposed. The one-loop renormalization group equations in the approach suggested have been constructed. The behaviour of effective…

High Energy Physics - Theory · Physics 2009-10-30 M. Yu. Kalmykov , D. I. Kazakov