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We present a class of static membrane solutions, with non-flat worldvolume geometry, in the eleven dimensional supergravity with source terms. This class of solutions contains supersymmetric as well as a large class of non-supersymmetric…

High Energy Physics - Theory · Physics 2009-11-07 Sandip Bhattacharyya , Alok Kumar , Subir Mukhopadhyay

We present a generalization of the n-dimensional (pure) Lovelock Gravity theory based on an enlarged Lorentz symmetry. In particular, we propose an alternative way to introduce a cosmological term. Interestingly, we show that the usual pure…

High Energy Physics - Theory · Physics 2017-12-06 Patrick Concha , Evelyn Rodríguez

We consider spacelike surfaces in the four-dimensional Minkowski space and introduce geometrically an invariant linear map of Weingarten-type in the tangent plane at any point of the surface under consideration. This allows us to introduce…

Differential Geometry · Mathematics 2012-05-30 Georgi Ganchev , Velichka Milousheva

Motivated by the problem of defining the entanglement entropy of the graviton, we study the division of the phase space of general relativity across subregions. Our key requirement is demanding that the separation into subregions is…

High Energy Physics - Theory · Physics 2019-02-20 Joan Camps

New solution for two interpenetrating universes is found. Higher derivative gravity acting in 6-dimensional space is the basis of the study that allows to obtain stable solution without introducing matter of any sort. Stability of the…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Sergey G. Rubin

We study rigidity/flexibility properties of global solutions to the thin obstacle problem. For solutions with bounded positive sets, we give a classification in terms of their expansions at infinity. For solutions with bounded contact sets,…

Analysis of PDEs · Mathematics 2025-05-01 Xavier Fernández-Real , Hui Yu

The generalized SU(2) Proca theory is a vector-tensor modified gravity theory where the action is invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This work constitutes the first approach to…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Jhan N. Martinez , Jose F. Rodriguez , Yeinzon Rodriguez , Gabriel Gomez

We find vacuum solutions such that massive gravitons are confined in a local spacetime region by their gravitational energy in asymptotically flat spacetimes in the context of the bigravity theory. We call such self-gravitating objects…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Katsuki Aoki , Kei-ichi Maeda , Yosuke Misonoh , Hirotada Okawa

We consider the sector of N=8 five-dimensional gauged supergravity with non-trivial scalar fields in the coset space SL(6,R)/SO(6), plus the metric. We find that the most general supersymmetric solution is parametrized by six real moduli…

High Energy Physics - Theory · Physics 2009-10-31 I. Bakas , K. Sfetsos

A family of geometries on S^7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional riemannian geometry and the two exceptional Cartan-Schouten compact flat geometries with torsion, one…

High Energy Physics - Theory · Physics 2013-07-02 E. K. Loginov

The new solution of the Einstein equations in empty space is presented. The solution is constructed using Schwarzschild solution but essentially differs from it. The basic properties of the solution are: the existence of a horizon which is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. S. Dolgov

In this paper we solve the Plateau problem for spacelike surfaces with constant mean curvature in Lorentz-Minkowski three-space $\l^3$ and spanning two circular (axially symmetric) contours in parallel planes. We prove that rotational…

Differential Geometry · Mathematics 2007-05-23 Rafael Lopez

In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a class of prescribed curvature and general boundary data based on…

Analysis of PDEs · Mathematics 2024-09-06 Mengru Guo , Heming Jiao

Objectives: A systematic study on the general relativistic Poynting-Robertson effect has been developed so far by introducing different complementary approaches, which can be mainly divided in two kinds: (1) improving the theoretical…

General Relativity and Quantum Cosmology · Physics 2020-06-03 Vittorio De Falco

A new class of non-compact Kahler backgrounds accompanied by a non-constant dilaton field is constructed as a supergravity solution. It is interpreted as a complex line bundle over a base manifold comprising of a combination of arbitrary…

High Energy Physics - Theory · Physics 2009-11-10 Noriko Nakayama , Katsuyuki Sugiyama

A comprehensive analysis of the morphology of the solution space for a special type of quadratic quaternion equation is presented. This equation, which arises in a surface construction problem, incorporates linear terms in a quaternion…

Complex Variables · Mathematics 2016-01-14 Rida T. Farouki , Graziano Gentili , Carlotta Giannelli , Alessandra Sestini , Caterina Stoppato

In this paper, based on the thin-shell formalism, we introduce a classical model for particles in the framework of $n+1-$dimensional $\left[\frac{n}{2}\right]$-order pure Lovelock gravity. In particular, we construct a spherically symmetric…

General Physics · Physics 2020-09-15 S. Danial Forghani , S. Habib Mazharimousavi , Mustafa Halilsoy

This paper deals with the generalization of usual round spheres in the flat Minkowski spacetime to the case of a generic four-dimensional spacetime manifold $M$. We consider geometric properties of sphere-like submanifolds in $M$ and…

General Relativity and Quantum Cosmology · Physics 2016-10-26 Hans-Peter Gittel , Jacek Jezierski , Jerzy Kijowski

We show how any asymptotically flat supersymmetric solution of minimal d=5 supergravity with flat base space can be deformed into another supersymmetric asymptotically-Godel solution and apply this procedure to the recently found…

High Energy Physics - Theory · Physics 2009-11-10 Tomas Ortin

In the Minkowski space, we consider a compact, spacelike hypersurface with boundary, which can be written as a graph on a spacelike hyperplane. We prove that, if its $k$-th mean curvature is constant, and its boundary is on the hyperplane…

Differential Geometry · Mathematics 2026-03-17 Shanze Gao
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