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This is a brief introduction to general relativity, designed for both students and teachers of the subject. While there are many excellent expositions of general relativity, few adequately explain the geometrical meaning of the basic…

General Relativity and Quantum Cosmology · Physics 2015-06-15 John C. Baez , Emory F. Bunn

Realizing a gravitational wave (GW) astronomy in next years is a great challenge for the scientific community. By giving a significant amount of new information, GWs will be a cornerstone for a better understanding of gravitational physics.…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Christian Corda

We demonstrate that the Evans-Rosenquist formulation of the optical mechanical analogy, so successful in the application to classical problems, also describes the motion of massless particles in the Schwarzschild field of general…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Kamal K. Nandi , Anwarul Islam

The deflection of gamma-rays in Earth's gravitational field is tested in laser Compton scattering at high energy accelerators. Within a formalism connecting the bending angle to the photon's momentum it follows that detected gamma-ray…

General Physics · Physics 2022-06-30 Vahagn Gharibyan

The Einstein theories of space-time and gravity as well the stander cosmology are reconstructed thoroughly in this paper based on flat reference frame. The rational parts of the Einstein theories are reserved while the irrational parts…

General Physics · Physics 2007-05-23 Mei Xiaochun

When pressure is not negligible in comparison with energy density, the external gravitational field and the motion of particles in it are modified. For spherically symmetric body two effective mass parameters determine the external…

General Relativity and Quantum Cosmology · Physics 2010-11-29 A. I. Nikishov

The Einstein--Cartan Theory (ECT) of gravity is a modification of General Relativity Theory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the density of intrinsic angular momentum. This…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Trautman

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. T. Ter-Kazarian

We perform a survey whether higher dimensional Schwarzschild space-time is compatible with some of the solar system phenomena. As a test we examine five well known solar system effects, viz., (1) Perihelion shift, (2) Bending of light, (3)…

General Relativity and Quantum Cosmology · Physics 2009-10-21 F. Rahaman , Saibal Ray , M. Kalam , M. Sarker

A deformation of Einstein Gravity is constructed based on gauging the noncommutative ISO(3,1) group using the Seiberg-Witten map. The transformation of the star product under diffeomorphism is given, and the action is determined to second…

High Energy Physics - Theory · Physics 2008-11-26 Ali H. Chamseddine

Einstein's theory of gravity, general relativity, has passed stringent tests in laboratories, elsewhere in the Solar Sytem, and in pulsar binaries. Nevertheless it is known to be incompatible with quantum mechanics and must differ from the…

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

Einstein Telescope (ET) is the European project for a gravitational-wave (GW) observatory of third-generation. In this paper we present a comprehensive discussion of its science objectives, providing state-of-the-art predictions for the…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Adrian Abac , Raul Abramo , Simone Albanesi , Angelica Albertini , Alessandro Agapito , Michalis Agathos , Conrado Albertus , Nils Andersson , Tomas Andrade , Igor Andreoni , Federico Angeloni , Marco Antonelli , John Antoniadis , Fabio Antonini , Manuel Arca Sedda , M. Celeste Artale , Stefano Ascenzi , Pierre Auclair , Matteo Bachetti , Charles Badger , Biswajit Banerjee , David Barba-Gonzalez , Daniel Barta , Nicola Bartolo , Andreas Bauswein , Andrea Begnoni , Freija Beirnaert , Michal Bejger , Enis Belgacem , Nicola Bellomo , Laura Bernard , Maria Grazia Bernardini , Sebastiano Bernuzzi , Christopher P. L. Berry , Emanuele Berti , Gianfranco Bertone , Dario Bettoni , Miguel Bezares , Swetha Bhagwat , Sofia Bisero , Marie Anne Bizouard , Jose J. Blanco-Pillado , Simone Blasi , Alice Bonino , Alice Borghese , Ssohrab Borhanian , Elisa Bortolas , Maria Teresa Botticella , Marica Branchesi , Matteo Breschi , Richard Brito , Enzo Brocato , Floor S. Broekgaarden , Tomasz Bulik , Alessandra Buonanno , Fiorella Burgio , Adam Burrows , Gianluca Calcagni , Sofia Canevarolo , Enrico Cappellaro , Giulia Capurri , Carmelita Carbone , Roberto Casadio , Ramiro Cayuso , Pablo Cerda-Duran , Prasanta Char , Sylvain Chaty , Tommaso Chiarusi , Martyna Chruslinska , Francesco Cireddu , Philippa Cole , Alberto Colombo , Monica Colpi , Geoffrey Compere , Carlo Contaldi , Maxence Corman , Francesco Crescimbeni , Sergio Cristallo , Elena Cuoco , Giulia Cusin , Tito Dal Canton , Gergely Dalya , Paolo D'Avanzo , Nazanin Davari , Valerio De Luca , Viola De Renzis , Massimo Della Valle , Walter Del Pozzo , Federico De Santi , Alessio Ludovico De Santis , Tim Dietrich , Ema Dimastrogiovanni , Guillem Domenech , Daniela Doneva , Marco Drago , Ulyana Dupletsa , Hannah Duval , Irina Dvorkin , Nancy Elias-Rosa , Stephen Fairhurst , Anthea F. Fantina , Matteo Fasiello , Maxime Fays , Rob Fender , Tobias Fischer , Francois Foucart , Tassos Fragos , Stefano Foffa , Gabriele Franciolini , Jacopo Fumagalli , Jonathan Gair , Rossella Gamba , Juan Garcia-Bellido , Cecilio Garcia-Quiros , Laszlo Arpad Gergely , Giancarlo Ghirlanda , Archisman Ghosh , Bruno Giacomazzo , Fabian Gittins , Ines Francesca Giudice , Boris Goncharov , Alejandra Gonzalez , Stephane Goriely , Luca Graziani , Giuseppe Greco , Leonardo Gualtieri , Gianluca Maria Guidi , Ish Gupta , Maria Haney , Mark Hannam , Jan Harms , Arus Harutyunyan , Brynmor Haskell , Andreas Haungs , Nandini Hazra , Gary Hemming , Ik Siong Heng , Tanja Hinderer , Alexander van der Horst , Qian Hu , Sascha Husa , Francesco Iacovelli , Giulia Illuminati , Gianluca Inguglia , David Izquierdo Villalba , Justin Janquart , Kamiel Janssens , Alexander C. Jenkins , Ian Jones , Balazs Kacskovics , Ralf S. Klessen , Kostas Kokkotas , Hao-Jui Kuan , Sumit Kumar , Sachiko Kuroyanagi , Danny Laghi , Astrid Lamberts , Gaetano Lambiase , Francois Larrouturou , Paola Leaci , Michele Lenzi , Andrew Levan , T. G. F. Li , Yufeng Li , Dicong Liang , Marco Limongi , Boyuan Liu , Felipe J. Llanes-Estrada , Eleonora Loffredo , Oliver Long , Eva Lope-Oter , Georgios Lukes-Gerakopoulos , Elisa Maggio , Michele Maggiore , Michele Mancarella , Michela Mapelli , Pablo Marchant , Annarita Margiotta , Alberto Mariotti , Alisha Marriott-Best , Sylvain Marsat , Gabriel Martinez-Pinedo , Andrea Maselli , Simone Mastrogiovanni , Isabela Matos , Andrea Melandri , Raissa F. P. Mendes , Josiel Mendonca Soares de Souza , Giorgio Mentasti , Mar Mezcua , Philipp Mosta , Chiranjib Mondal , Michele Moresco , Tista Mukherjee , Niccolo Muttoni , Alessandro Nagar , Harsh Narola , Lara Nava , Pablo Navarro Moreno , Gijs Nelemans , Alex B. Nielsen , Samaya Nissanke , Martin Obergaulinger , Micaela Oertel , Gor Oganesyan , Francesca Onori , Costantino Pacilio , Giulia Pagliaroli , Cristiano Palomba , Peter T. H. Pang , Paolo Pani , Lucia Papalini , Barbara Patricelli , Alessandro Patruno , Alessandro Pedrotti , Albino Perego , Maria Angeles Perez-Garcia , Carole Perigois , Gabriele Perna , Celine Peroux , J. Perret , Delphine Perrodin , Alessandro Pesci , Harald P. Pfeiffer , Ornella Juliana Piccinni , Mauro Pieroni , Silvia Piranomonte , Lorenzo Pompili , E. K. Porter , Rafael A. Porto , Adam Pound , Jade Powell , Mathieu Puech , Geraint Pratten , Anna Puecher , Oriol Pujolas , Miguel Quartin , Adriana R. Raduta , Antoni Ramos-Buades , Aaron Rase , Massimiliano Razzano , Nanda Rea , Tania Regimbau , Arianna Renzini , Piero Rettegno , Angelo Ricciardone , Antonio Riotto , Alba Romero-Rodriguez , Samuele Ronchini , Dorota Rosinska , Andrea Rossi , Soumen Roy , Diego Rubiera-Garcia , J. Rubio , Pilar Ruiz-Lapuente , Violetta Sagun , Mairi Sakellariadou , Om Sharan Salafia , Anuradha Samajdar , Nicolas Sanchis-Gual , Andrea Sanna , Filippo Santoliquido , Bangalore Sathyaprakash , Patricia Schmidt , Stefano Schmidt , Fabian R. N. Schneider , Raffaella Schneider , Armen Sedrakian , Geraldine Servant , Alexander Sevrin , Lijing Shao , Hector O. Silva , Peera Simakachorn , Stephen Smartt , Thomas P. Sotiriou , Mario Spera , Antonio Stamerra , Daniele A. Steer , Jan Steinhoff , Nikolaos Stergioulas , Riccardo Sturani , Duvier Suarez , Jishnu Suresh , Shaun Swain , Matteo Tagliazucchi , Nicola Tamanini , Gianmassimo Tasinato , Thomas M. Tauris , Jacopo Tissino , Giovanni Maria Tomaselli , Silvia Toonen , Alejandro Torres-Forne , Cezary Turski , Cristiano Ugolini , Elias C. Vagenas , Lorenzo Valbusa Dall'Armi , Elena Valenti , Rosa Valiante , Chris Van Den Broeck , Maarten van de Meent , Lieke A. C. van Son , Miguel Vanvlasselaer , Massimo Vaglio , Vijay Varma , John Veitch , Ville Vaskonen , Susanna D. Vergani , Milan Wils , Helvi Witek , Isaac C. F. Wong , Stoytcho Yazadjiev , Garvin Yim , Fausto Acernese , Hojae Ahn , Annalisa Allocca , Alex Amato , Marc Andres-Carcasona , Guerino Avallone , Markus Bachlechner , Patrick Baer , Stefano Bagnasco , Gabriele Balbi , Fabrizio Barone , Eugenio Benedetti , Charlotte Benning , Simone Bini , Jose Luis Blazquez Salcedo , Valerio Bozza , Matteo Bruno , Timo Butz , Matteo Califano , Enrico Calloni , Giovanni Carapella , Alessandro Cardini , Shreevathsa Chalathadka Subrahmanya , Francesco Chiadini , Antonino Chiummo , Spina Cianetti , Giacomo Ciani , Eugenio Coccia , Andrea Contu , Robin Cornelissen , Andrea Cozzumbo , Lewis Croney , Mariateresa Crosta , Rocco D'Agostino , Stefan Danilishin , Sabrina D'Antonio , Jorden De Bolle , Jerome Degallaix , Mariafelicia De Laurentis , Riccardo della Monica , Francesco De Marco , Ivan de Martino , Rosario De Rosa , Riccardo De Salvo , Roberta De Simone , Christophe Detavernier , Giovanni Diaferia , Martina Di Cesare , Luciano Di Fiore , Matteo Di Giovanni , Sibilla Di Pace , Jennifer Docherty , Domenico D'Urso , Oussama El Mecherfi , Luciano Errico , Federica Fabrizi , Viviana Fafone , Viviana Fanti , Rosalba Fittipaldi , Vincenzo Fiumara , Andreas Freise , Stefan Funk , Mika Gaedtke , Fabio Garufi , Oliver Gerberding , Edoardo Giangrandi , Carlo Giunchi , Victoria Graham , Massimo Granata , Veronica Granata , Anna Green , Karen Haughian , Lavinia Heisenberg , Margot Hennig , Stefan Hild , Van Long Hoang , Nathan Holland , Gerardo Iannone , Katharina-Sophie Isleif , Robert Joppe , Chang-Hee Kim , Chunglee Kim , Kyungmin Kim , Erika Korb , Mikhail Korobko , Luise Kranzhoff , Tim Kuhlbusch , Gregoire Lacaille , Angelique Lartaux-Vollard , Lia Lavezzi , Paul Laycock , Sumi Lee , Sumin Lee , Sungho Lee , Giovanni Losurdo , Leonardo Lucchesi , Harald Luck , Adrian Macquet , Ettore Majorana , Valentina Mangano , Filippo Martelli , Iain Martin , Mario Martinez , Alberto Masoni , Luca Massaro , Daniele Melini , Amata Mercurio , Lorenzo Mereni , Andrew L. Miller , Lorenzo Mirasola , Alexandra Mitchell , Irene Molinari , Matteo Montani , Conor Mow-Lowry , Riccardo Murgia , Peter Gordon Murray , Giuseppe Muscas , Luca Naticchioni , Ardiana Nela , Marina Nery , Tom Niggemann , Niklas Nippe , Jerome Novak , Armin Numic , Marco Olivieri , Marco Orsini , June Gyu Park , Daniela Pascucci , Antonio Perreca , Francesco Piergiovanni , Vincenzo Pierro , Laurent Pinard , Innocenzo Pinto , Michele Punturo , Paola Puppo , Francesco Quochi , Reinhardt Omondi Rading , Piero Rapagnani , Marco Ricci , Davi Rodrigues , Rocco Romano , Davide Rozza , Pooya Saffarieh , Federica Santucci , Steven Schramm , Benjamin Schwab , Valeria Sequino , Liam Shelling Neto , Laura Silenzi , Alicia M. Sintes , Carlos F. Sopuerta , Andrew Spencer , Achim Stahl , Jessica Steinlechner , Sebastian Steinlechner , Robert Szabo , Thomas Thummler , Emanuele Tofani , Stefano Torniamenti , Riccardo Travaglini , Lucia Trozzo , M. Paola Vaccaro , Michele Valentini , Peter Van , Jesse van Dongen , Joris van Heijningen , Zeb van Ranst , Marco Vardaro , Patrice Verdier , Daniele Vernieri , Nico Wagner , Janis Woehler , Joachim Wolf , Guido Zavattini , Adrian Zink , Andreas Zmija

The fundamental interactions of nature, the electroweak and the quantum chromodynamics, are described in the Standard Model by the Gauge Theory under internal symmetries that maintain the invariance of the functional action. The fundamental…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Wytler Cordeiro dos Santos

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

We study the physical effects of torsion as predicted by the Einstein-Cartan theory in the test particle approximation and the non-relativist limit. We first present the corresponding non-relativistic Hamiltonian for a 2-spinor. Then, we…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Bruno Arderucio Costa , Yuri Bonder

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is…

General Relativity and Quantum Cosmology · Physics 2013-12-17 Kostadin Trencevski , Emilija G. Celakoska , Vladimir Balan

Einstein's perihelion advance formula can be given a geometric interpretation in terms of the curvature of the ellipse. The formula can be obtained by splitting the constant term of an auxiliary polar equation for an elliptical orbit into…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Maurizio M. D'Eliseo

We propose gravitational microlensing as a way of testing the emergent gravity theory recently proposed by Eric Verlinde~\cite{Verlinde:2016toy}. We consider two limiting cases: the dark mass of maximally anisotropic pressures (Case I) and…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Lei-Hua Liu , Tomislav Prokopec

We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mirco Calura , Enrico Montanari , Pierluigi Fortini