相关论文: On Self-Dual Gravity I

We provide a precise statement and self contained proof of a Sobolev inequality (cf. [A, page 236 and page 237]) stated in the original paper. Higher order and fractional inequalities are treated as well.

This is a partially survey collection of material on gravity, entropy, and information with some new heuristic results related to the WDW equation.

This article corrects two mistakes in the article "Coarse homology theories" [math.AT/0106183].

In this communication, based on our paper http://arxiv.org/abs/1409.4186, we discuss a way of enhancing Gauge/Gravity Duality and response of a dual strongly coupled medium on placing the inhomogeneity on the gravity side.

This paper is a set of notes that we wrote concerning the first version of Emergent Gravity [gr-qc/0602022]. It is our version of an exercise that we proposed to some of our students. The idea was to find mathematical errors and…

A review is given of some classical and quantum aspects of 2+1 dimensional gravity.

In this revised version, we add some expository material and references and make some minor corrections.

There is a mathematical error in the first version of this paper. A new corrected version will be posted when the error is fixed, possibly with a modified title.

In the version 1 of this paper, we claimed that 4D ${\cal N}=1$ supergravity formulations with different auxiliary fields can be unified using U(1) gauge symmetry, whose gauge superfield does not have a kinetic term. However, after…

Following some ideas in the Landau book, some corrections about errors in the old literature on scalar gravitational waves are given and discussed. Even if such errors can be considered not important from the point of view of observations,…

Contents 1 Mappings and distortion 2 The mathematics of good behavior much of the time, and the BMO frame of mind 3 Finite polyhedra and combinatorial parameterization problems 4 Quantitative topology, and calculus on singular spaces 5…

We discuss constraint structure of extended theories of gravitation (also known as f(R) theories) in the vacuum selfdual formulation introduced in ref. [1].

This paper has been withdrawn by the author due to it contains some errors. A corrected treatment is presented in further publications of the author.

A geometric formulation which describes extended supergravities in any dimension in presence of electric and magnetic sources is presented. In this framework the underlying duality symmetries of the theories are manifest. Particular…

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

This paper has been withdrawn by the author. A much more revised version is available as arXiv:0909.4238.

An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N=1 supergravity…

None of the previous versions of this article is the one published in Int Journ Mod Phys A which can be found on the journal server. A more recent and living review of the DArk Gravity Theory can be found in gr-qc/0610079 .

Withdrawn; originally put in incomplete form without permission

I give a brief review on motivations, basic postulates, and recent developments in Doubly Special Relativity Theory.