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Although implicit in the discovery of the Schwarzschild solution 40 years earlier, the issues raised by the theory of what are now known as black holes were so unsettling to physicists of Einstein's generation that the subject remained in a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brandon Carter

We study influence of gravitational field on the mass-energy equivalence relation by incorporating gravitation in the physical situation considered by Einstein (Ann. Physik, 17, 1905, English translation in ref. [1]) for his first…

General Physics · Physics 2007-05-23 R. V. R. Pandya

The dark matter and dark energy problem, that is now dominating the research in cosmology, makes the question of the origin of mass-energy content of the universe more urgent than ever. There are two philosophies regarding this question:…

General Relativity and Quantum Cosmology · Physics 2016-01-27 T. Miller , M. Heller

Faced with the persisting problem of the unification of gravity with other fundamental interactions we investigate the possibility of a new paradigm, according to which the basic space of physics is a multidimensional space ${\cal C}$…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Matej Pavsic

One of the major developments of twentieth century physics has been the gradual recognition that a common feature of the known fundamental interactions is their gauge structure. In this article the authors review the early history of gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lochlain O'Raifeartaigh , Norbert Straumann

We study on the third quantization of a Kaluza-Klein toy model. In this model time ($x$) is defined by the scale factor of universe, and the space coordinate ($y$) is defined by the ratio of the scales of the ordinary space and the internal…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yoshiaki Ohkuwa

We consider multidimensional gravity with a Lagrangian containing the Ricci tensor squared and the Kretschmann invariant. In a Kaluza-Klein approach with a single compact extra space of arbitrary dimension, with the aid of a slow-change…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov , S. G. Rubin

We briefly discuss new models of an `affine' theory of gravity in multidimensional space-times with symmetric connections. We use and generalize Einstein's proposal to specify the space-time geometry by use of the Hamilton principle to…

General Relativity and Quantum Cosmology · Physics 2017-08-23 A. T. Filippov

A four-dimensional effective theory that arises as the low-energy limit of some extra-dimensional model is constrained by the higher dimensional Einstein equations. Steinhardt & Wesley use this to show that accelerated expansion in our four…

High Energy Physics - Theory · Physics 2015-05-30 Rik Koster , Marieke Postma

Recently by us was proposed the model where Einstein's equation on the brane was connected with Maxwell's multi-dimensional equations in pseudo-Euclidean space. Based on this idea unification of 4-dimensional gravity and electromagnetism in…

High Energy Physics - Theory · Physics 2007-05-23 Merab Gogberashvili

E. C. Zeeman [1] has criticized the fact that in all articles and books until that moment (1967) the topology employed to work with the Minkowski space was the Euclidean one. He has proposed a new topology, which was generalized for more…

Mathematical Physics · Physics 2007-05-23 I. Struchiner , M. Rosa

This note is based on a relatively unknown paper of Albert Einstein published in 1941 in the Revista de la Universidad Nacional de Tucuman. That work can be regarded as the prequel of the one written in 1943 in collaboration with Wolfgang…

History and Philosophy of Physics · Physics 2018-07-05 Mariano Galvagno , Gaston Giribet

We consider Kaluza-Klein (KK) models where internal spaces are compact Einstein spaces. These spaces are stabilized by background matter (e.g., monopole form-fields). We perturb this background by a compact matter source (e.g., the system…

General Relativity and Quantum Cosmology · Physics 2014-08-08 Alexey Chopovsky , Maxim Eingorn , Alexander Zhuk

The advent of general relativity settled it once and for all that a theory of spacetime is inextricably linked to the theory of gravity. From the point of view of the gauge principle of Weyl and Yang-Mills-Utiyama, it became manifest around…

General Relativity and Quantum Cosmology · Physics 2014-05-06 Friedrich W. Hehl

We provide an overview of noncompactified Kaluza-Klein theories. The space-time-matter theory (or induced-matter theory) and the modified Brans-Dicke theory are discussed. Finally, an extended version of the Kantowski-Sachs anisotropic…

General Relativity and Quantum Cosmology · Physics 2023-11-20 S. M. M. Rasouli

In a very recent paper [1], we have proposed a novel $4$-dimensional gravitational theory with two dynamical degrees of freedom, which serves as a consistent realization of $D\to4$ Einstein-Gauss-Bonnet gravity with the rescaled…

General Relativity and Quantum Cosmology · Physics 2021-04-29 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama

The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational…

General Relativity and Quantum Cosmology · Physics 2010-11-01 H. H. Soleng

Since the appearance of Einstein's paper {\em"On the Electrodynamics of Moving Bodies"} and the birth of special relativity, it is understood that the theory was basically coded within Maxwell's equations. The celebrated mass-energy…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Alejandro Perez , Salvatore Ribisi

Our conventional understanding of space-time, as well as our notion of geometry, break down once we attempt to describe the very early stages of the evolution of our universe. The extreme physical conditions near the Big Bang necessitate an…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Mairi Sakellariadou

With his General Theory of Relativity, Albert Einstein produced a revolution in our conception of reality and of the knowledge we can obtain from it. This revolution can be viewed from philosophy as leading to one of the great paradigms in…

History and Philosophy of Physics · Physics 2007-05-31 Olimpia Lombardi