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result(s) for
"General relativity (Physics)"
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General Relativity and the Einstein Equations
General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. This book overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field.
eBook
On gravity : a brief tour of a weighty subject
\"In On Gravity, physicist A. Zee combines profound depth with incisive accessibility to take us on an original and compelling tour of Einstein's general theory of relativity. Inspired by Einstein's audacious suggestion that spacetime could ripple, Zee begins with the stunning discovery of gravity waves. He goes on to explain how gravity can be understood in comparison to other classical field theories, presents the idea of curved spacetime and the action principle, and explores cutting-edge topics, including black holes and Hawking radiation. Zee travels as far as the theory reaches, leaving us with tantalizing hints of the utterly unknown, from the intransigence of quantum gravity to the mysteries of dark matter and energy. Concise and precise, and infused with Zee's signature warmth and freshness of style, On Gravity opens a unique pathway to comprehending relativity and gaining deep insight into gravity, spacetime, and the workings of the universe\"--Publisher's website.
Book
General Relativity
This book explores Einstein's theory of general relativity, which revolutionized our understanding of gravity and space-time. The book covers topics such as the curvature of space-time, black holes, and the expanding universe. It also discusses the applications of general relativity in modern physics and cosmology. This book is a must-read for anyone interested in understanding one of the most significant scientific theories of the 20th century.
eBook
Minimally modified gravity fitting Planck data better than Λ CDM
We study the phenomenology of a class of minimally modified gravity theories called
f
(
H
)
theories, in which the usual general relativistic Hamiltonian constraint is replaced by a free function of it. After reviewing the construction of the theory and a consistent matter coupling, we analyze the dynamics of cosmology at the levels of both background and perturbations, and present a concrete example of the theory with a 3-parameter family of the function
f
. Finally, we compare this example model to Planck data as well as some later-time probes, showing that such a realization of
f
(
H
)
theories fits the data significantly better than the standard
Λ
CDM model, in particular by modifying gravity at intermediate redshifts,
z
≃
743
.
Journal Article
Conformal structure of FLRW cosmology: spinorial representation and the $$ \\mathfrak{so} $$ (2, 3) algebra of observables
It was recently shown that the homogeneous and isotropic cosmology of a massless scalar field coupled to general relativity exhibits a new hidden conformal invariance under Mobius transformation of the proper time, additionally to the invariance under time-reparamterization. The resulting Noether charges form a
$$ \\mathfrak{sl}\\left(2,\\mathbb{R}\\right) $$
sl
2
ℝ
Lie algebra, which encapsulates the whole kinematics and dynamics of the geometry. This allows to map FLRW cosmology onto conformal mechanics and formulate quantum cosmology in CFT
1
terms. Here, we show that this conformal structure is embedded in a larger
$$ \\mathfrak{so} $$
so
(3, 2) algebra of observables, which allows to present all the Dirac observables for the whole gravity plus matter sectors in a unified picture. Not only this allows one to quantize the system and its whole algebra of observables as a single irreducible representation of
$$ \\mathfrak{so} $$
so
(3, 2), but this also gives access to a scalar field operator
$$ \\hat{\\phi} $$
ϕ
̂
opening the door to the inclusion of non-trivial potentials for the scalar field. As such, this extended conformal structure might allow to perform a group quantization of inflationary cosmological backgrounds.
Journal Article
