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This dissertation investigates three main topics, all of which dealing with alternative, higher-order gravity theories in four dimensions. Firstly, we study the variational and conformal structure of those theories. Next, we analyse their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Laurent Querella

Some previously published expressions for the perturbation of light by gravitational waves exhibit pathological behaviour in the limit of parallel propagation. We show that this is caused by similarly pathological initial or boundary data…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Thomas Mieling , Stefan Palenta

We present an extension of a previously suggested test of all modified theories of gravity that would reproduce MOND at low accelerations. In a class of models, called "dark matter emulators", gravitational waves and other particles couple…

General Relativity and Quantum Cosmology · Physics 2011-06-28 E. O. Kahya

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

The debate concerning the viability of f(R)-gravity as a natural extension of General Relativity could be realistically addressed by using results coming from binary pulsars like PSR 1913+16. To this end, we develop a quadrupolar approach…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Mariafelicia De Laurentis , Salvatore Capozziello

The cosmological background of gravitational waves can be tuned by the higher-order corrections to the gravitational Lagrangian. In particular, it can be shown that assuming $R^{1+\epsilon}$, where $\epsilon$ indicates a generic (eventually…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , M. Francaviglia

A review of the pseudo-complex General Relativity (pc-GR) is presented, with the emphasis on observational consequences. First it is argued why to use an algebraic extension and why the pseudo-complex is a viable one. Afterward, the pc-GR…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Peter Otto Hess

After a brief review of the first phase of development of Quantum-Gravity Phenomenology, I argue that this research line is now ready to enter a more advanced phase: while at first it was legitimate to resort to heuristic order-of-magnitude…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

We study cosmological constraints on the various accelerating models of the universe using the time evolution of the cosmological redshift of distant sources. The important characteristic of this test is that it directly probes the…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Deepak Jain , Sanjay Jhingan

Among the available quantum gravity proposals, string theory, loop quantum gravity, non-commutative geometry, group field theory, causal sets, asymptotic safety, causal dynamical triangulation, emergent gravity are among the best motivated…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Aurélien Barrau

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Christian Corda

General relativity has predicted the existence of gravitational waves (GW), which are waves of the distortions of space-time with two degrees of polarization and the propagation speed of light. Alternative theories predict more…

High Energy Astrophysical Phenomena · Physics 2015-05-28 K. J. Lee

We investigate the cosmological implications of a new class of modified gravity, where the field equations generically include higher-order derivatives of the matter fields, arising from the introduction of non-dynamical auxiliary fields in…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Tiberiu Harko , Francisco S. N. Lobo , Emmanuel N. Saridakis

In this communication, we focus on the possibility to test General Relativity (GR) with radioscience experiments. We present simulations of observables performed in alternative theories of gravity using a software that simulates…

General Relativity and Quantum Cosmology · Physics 2015-03-11 A. Hees , B. Lamine , S. Reynaud , M. -T. Jaekel , C. Le Poncin-Lafitte , V. Lainey , A. Füzfa , J. -M. Courty , V. Dehant , P. Wolf

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

Gravitational waves can act like gravitational lenses, affecting the observed positions, brightnesses, and redshifts of distant objects. Exact expressions for such effects are derived here in general relativity, allowing for…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Abraham I. Harte

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

A way to probe alternative theories of gravitation is to study if they could account for the structures of the universe. We then modified the well-known Gadget-2 code to probe alternative theories of gravitation through galactic dynamics.…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-25 C. S. S. Brandao , J. C. N. de Araujo