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In the present work we find novel Newtonian gravity models in three spacetime dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular…

High Energy Physics - Theory · Physics 2020-11-05 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez , Gustavo Rubio

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

We find candidate macroscopic gravity duals for scale-invariant but non-Lorentz invariant fixed points, which do not have particle number as a conserved quantity. We compute two-point correlation functions which exhibit novel behavior…

High Energy Physics - Theory · Physics 2010-04-06 Shamit Kachru , Xiao Liu , Michael Mulligan

The logarithmic $R^2$-corrected $F(R)$ gravity is investigated as a prototype model of modified gravity theories with quantum corrections. By using the auxiliary field method, the model is described by the general relativity with a scalaron…

General Relativity and Quantum Cosmology · Physics 2019-10-23 T. Inagaki , Y. Matsuo , H. Sakamoto

We obtain a new 3D gravity model from two copies of parity-odd Einstein-Cartan theories. Using Hamiltonian analysis, we demonstrate that the only local degrees of freedom are two massive spin-2 modes. Unitarity of the model in anti-de…

High Energy Physics - Theory · Physics 2019-07-19 Mehmet Ozkan , Yi Pang , Utku Zorba

We begin by reexamining the holographic reconstruction of scalar fields in four-dimensional anti-de Sitter spacetime, adopting a purely Lorentzian signature derivation, reproducing earlier results of HKLL and generalizing to arbitrary…

High Energy Physics - Theory · Physics 2024-11-05 David A. Lowe , Yiru Wang , Juanyi Yang

We explore models with emergent gravity and metric by means of numerical simulations. A particular type of two-dimensional non-linear sigma-model is regularized and discretized on a quadratic lattice. It is characterized by lattice…

High Energy Physics - Theory · Physics 2015-06-11 D. Sexty , C. Wetterich

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

We construct two classes of continuous phase transitions in 3+1 dimensions between gapped phases that break distinct generalized global symmetries. Our analysis focuses on $SU(N)/\mathbb{Z}_N$ gauge theory coupled to $N_f$ flavors of…

Strongly Correlated Electrons · Physics 2025-12-04 Benjamin Moy

We present a generalization of the so-called Maxwellian extended Bargmann algebra by considering a non-relativistic limit to a generalized Maxwell algebra defined in three spacetime dimensions. The non-relativistic Chern-Simons gravity…

High Energy Physics - Theory · Physics 2020-07-02 Patrick Concha , Marcelo Ipinza , Evelyn Rodríguez

We examine the advantages of the SO(3)-ADM (Ashtekar) formulation of general relativity, from the point of following the dynamics of the Lorentzian spacetime in direction of applying this into numerical relativity. We describe our strategy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hisa-aki Shinkai , Gen Yoneda

We find the linearized gravitational field of a static spherically symmetric mass distribution in massive conformal gravity and test it with some solar system experiments. The result is that the theory agrees with the general relativistic…

General Relativity and Quantum Cosmology · Physics 2022-04-05 F. F. Faria

We investigate circularly symmetric static solutions in three-dimensional gravity with a minimally coupled massive scalar field. We integrate numerically the field equations assuming asymptotic flatness, where black holes do not exist and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. de Berredo-Peixoto

Minimal massive gravity in three dimensions propagates a single massive spin-2 mode around an AdS vacuum. It is distinguished by allowing for vacua with positive central charges of the asymptotic conformal algebra and a bulk graviton of…

High Energy Physics - Theory · Physics 2023-04-28 Nihat Sadik Deger , Marc Geiller , Jan Rosseel , Henning Samtleben

In the pursuit of a general formulation for a modified gravitational theory at the non-relativistic level and as an alternative to the dark matter hypothesis, we construct a model valid over a wide variety of astrophysical scales. Through…

Astrophysics of Galaxies · Physics 2011-12-13 S. Mendoza , X. Hernandez , J. C. Hidalgo , T. Bernal

We investigate symmetric Metric-Affine Theories of Gravity with a Lagrangian containing all operators of dimension up to four that are relevant to free propagation in flat space. Complementing recent work in the antisymmetric case, we…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Yusuke Mikura , Roberto Percacci

Universality is a pillar of modern critical phenomena. The standard scenario is that the two-point correlation algebraically decreases with the distance $r$ as $g(r) \sim r^{2-d-\eta}$, with $d$ the spatial dimension and $\eta$ the…

Statistical Mechanics · Physics 2021-09-17 Minghui Hu , Youjin Deng , Jian-Ping Lv

We note that large classes of contractions of algebras that arise in physics can be understood purely algebraically, via identifying appropriate $\mathbb{Z}_m$-gradings (and their generalizations) on the parent algebra. This includes…

High Energy Physics - Theory · Physics 2018-05-09 Chethan Krishnan , Avinash Raju

In this habilitation thesis we provide an introduction to gravitational models in two spacetime dimensions. Focus is put on exactly solvable models. We begin by introducing and motivating different possible gravitational actions, including…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Strobl

Constraint analysis of the three-dimensional massive gravity, the so- called new massive gravity, is studied in the Palatini formalism. We show that amongst 6 components of the metric, 2 are dynamical, which is compatible with the existence…

High Energy Physics - Theory · Physics 2011-04-26 M. Sadegh , A. Shirzad