Results 11 to 20 of about 20,416 (75)

What is General Relativity? [PDF]

, 2017
General relativity is a set of physical and geometric principles, which lead to a set of (Einstein) field equations that determine the gravitational field, and to the geodesic equations that describe light propagation and the motion of particles on the ...
Coley, Alan A., Wiltshire, David L.
core   +2 more sources

The volume operator in covariant quantum gravity [PDF]

, 2010
A covariant spin-foam formulation of quantum gravity has been recently developed, characterized by a kinematics which appears to match well the one of canonical loop quantum gravity.
Alexandrov S, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A Campiglia M Henderson A, Baez J C, Barrett J W, Battisti M V Marciano A Rovelli C, Bianchi E Rovelli C Vidotto F, Carlo Rovelli, Engle J, Flori C, Flori C Thiemann T, Freidel L, Iwasaki J, Livine E, Noui K, Oriti D, Pereira R, Perez A, Reisenberger M P, Reisenberger M P, Reisenberger M P, Reisenberger M P, Rovelli C, Rovelli C, Rovelli C, Rovelli C Vidotto F, Smolin L, Thiemann T, You Ding   +30 more
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Quantum Geometry and its Implications for Black Holes [PDF]

, 2006
General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems.
Arnowitt R., Ashtekar A., Bojowald M., Bojowald M., Douglas M., MARTIN BOJOWALD, Nietzsche F., Vereshchagin G. V.   +7 more
core   +2 more sources

A Lorentzian signature model for quantum general relativity [PDF]

, 1999
We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral given by an integral over suitable representations of ...
J. Barrett, L. Crane
semanticscholar   +1 more source

Heun Functions and Some of Their Applications in Physics

Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018
Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the system studied.
M. Hortaçsu, Saber Zarrinkamar
wiley   +1 more source

Optimized Reputable Sensing Participants Extraction for Participatory Sensor Networks

Mathematical Problems in Engineering, Volume 2014, Issue 1, 2014., 2014
By collecting data via sensors embedded personal smart devices, sensing participants play a key role in participatory sensor networks. Using information provided by reputable sensing participants ensures the reliability of participatory sensing data.
Weiwei Yuan, Donghai Guan, Yuanfeng Jin, Lu Zhen   +3 more
wiley   +1 more source

The Geometry of Black Hole singularities [PDF]

, 2014
Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's at non-singular
Stoica, Ovidiu Cristinel
core   +3 more sources

Hamiltonian approach to GR – Part 2: covariant theory of quantum gravity [PDF]

The European Physical Journal C, 2016
A non-perturbative quantum field theory of General Relativity is presented which leads to a new realization of the theory of covariant quantum gravity (CQG-theory). The treatment is founded on the recently identified Hamiltonian structure associated with
C. Cremaschini, M. Tessarotto
semanticscholar   +1 more source

From Physics Model to Results: An Optimizing Framework for Cross‐Architecture Code Generation

Scientific Programming, Volume 21, Issue 1-2, Page 1-16, 2013., 2013
Starting from a high‐level problem description in terms of partial differential equations using abstract tensor notation, the Chemora framework discretizes, optimizes, and generates complete high performance codes for a wide range of compute architectures. Chemora extends the capabilities of Cactus, facilitating the usage of large‐scale CPU/GPU systems
Marek Blazewicz, Ian Hinder, David M. Koppelman, Steven R. Brandt, Milosz Ciznicki, Michal Kierzynka, Frank Löffler, Erik Schnetter, Jian Tao   +8 more
wiley   +1 more source

Numerical Approaches to Spacetime Singularities [PDF]

, 2002
This Living Review updates a previous version which its itself an update of a review article. Numerical exploration of the properties of singularities could, in principle, yield detailed understanding of their nature in physically realistic cases ...
A A Kirillov, A A Kirillov, A A Moser, A Ashtekar, A B Burd, A Bonanno, A D Rendall, A D Rendall, A D Rendall, A E Motter, A H Norton, A M Abrahams, A M Abrahams, A Ori, A Ori, A Ori, A Ori, A Ori, A P Gentle, A Taub, A Zardecki, B Grubišić, B Grubišić, B Grubišić, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, B K Berger, C Barrabès, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C Gundlach, C M Chambers, C M Chambers, C M Chambers, C R Evans, C W Misner, D Christodoulou, D Christodoulou, D Eardley, D Eardley, D F Chernoff, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D Garfinkle, D M Eardley, D Maison, D R Brill, D S Goldwirth, D V Gal’tsov, D V Gal’tsov, D W Hobill, E E Donets, E Kasner, E Poisson, E Poisson, E Poisson, E Seidel, E W Hirschmann, E W Hirschmann, E W Hirschmann, F Echeverria, F J Tipler, F Mellor, F Mellor, F Pretorius, G F R Ellis, G Francisco, G Johnson, G Montani, G Rein, H Elst van, H Friedrich, H Iguchi, H Iguchi, H Iguchi, H Ringström, H Ringström, I M Khalatnikov, I Olabarrieta, J A Fleck, J A Isenberg, J C Niemeyer, J D Barrow, J D Barrow, J Isenberg, J Libson, J Masso, J Pullin, J Wojtkiewicz, J Yokoyama, K Ferraz, K Nakao, K P Tod, K S Thorne, L Andersson, L M Burko, L M Burko, L M Burko, L M Burko, L M Burko, L M Burko, L S Finn, M A Pelath, M Bañados, M H P M Putten van, M L Gnedin, M MacCallum, M P Ryan Jr., M P Ryan Jr., M Suzuki, M Suzuki, M W Browne, M W Choptuik, M W Choptuik, M Weaver, M Weaver, M Weaver, M Weaver, N Deruelle, N J Cornish, N J Cornish, O Iguchi, P Anninos, P Anninos, P Bizoń, P Bizoń, P Bizoń, P Bizoń, P Breitenlohner, P Breitenlohner, P Breitenlohner, P Halpern, P Hübner, P Hübner, P K-H Ma, P R Brady, P R Brady, P R Brady, P R Brady, P R Brady, P R Brady, P T Chrusciel, P T Chruściel, R Bartnik, R Carretero-Gonzalez, R H Gowdy, R M Wald, R M Wald, R Ove, R Penrose, R Penrose, R S Hamadé, R S Hamadé, R Schoen, R T Jantzen, R T Jantzen, S A Teukolsky, S Chandrasekhar, S Cotsakis, S D Hern, S Droz, S E Rugh, S E Rugh, S E Rugh, S Hod, S Hod, S Hod, S Hod, S Hod, S Husa, S J Hern, S Kichenassamy, S L Liebling, S L Shapiro, S L Shapiro, S L Shapiro, S M C V Gonçalves, S W Hawking, S W Hawking, S W Hawking, T Chiba, T Chiba, T Damour, T Damour, T Harada, T Harada, T Koike, T Nakamura, T Nakamura, T Nakamura, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V A Belinskii, V G LeBlanc, V G LeBlanc, V Moncrief, V Moncrief, V Moncrief, V Moncrief, W H Press, W Israel, W Israel, Z B Belanger   +232 more
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