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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…

广义相对论与量子宇宙学 · 物理学 2015-06-15 John C. Baez , Emory F. Bunn

Space-time quantum contributions to the classical Einstein equations of General Relativity are determined. The theoretical background is provided by the non-perturbative theory of manifestly-covariant quantum gravity and the…

广义相对论与量子宇宙学 · 物理学 2018-07-18 Claudio Cremaschini , Massimo Tessarotto

Einstein Gravity in 2+1 dimensions arises as a consequence of the equations of motion of a gauge model in an external metric. Newton's constant appears as an order parameter of a spontaneously broken discrete symmetry. Matter is coupled in…

高能物理 - 理论 · 物理学 2007-05-23 R. Brooks , D. Cangemi , M. Crescimanno

The field equations of general relativity can be derived from the Einstein action, which is quadratic in connection coefficients, rather than the standard action involving the Gibbons-Hawking-York term and counterterm. We show that it is…

广义相对论与量子宇宙学 · 物理学 2025-05-08 Martin Krššák

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

高能物理 - 理论 · 物理学 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

We analyze black hole thermodynamics in a generalized theory of gravity whose Lagrangian is an arbitrary function of the metric, the Ricci tensor and a scalar field. We can convert the theory into the Einstein frame via a "Legendre"…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jun-ichirou Koga , Kei-ichi Maeda

The tree-level scattering amplitudes of general relativity encode the full non-linearity of the Einstein field equations. Yet remarkably compact expressions for these amplitudes have been found which seem unrelated to a perturbative…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Tim Adamo

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

高能物理 - 理论 · 物理学 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the…

数学物理 · 物理学 2015-03-09 Daniel Siemssen

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

广义相对论与量子宇宙学 · 物理学 2018-01-30 Chiang-Mei Chen , James M. Nester

Theories based on General Relativity or Quantum Mechanics have taken a leading position in macroscopic and microscopic Physics, but fail when used in the other extremity. Thus, we try to establish a new structure of united theory based on…

综合物理 · 物理学 2014-04-14 Chang-kai Zhang

We derive Einstein's equations from a linear theory in flat space-time using free-field gauge invariance and universal coupling. The gravitational potential can be either covariant or contravariant and of almost any density weight. We adapt…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. Brian Pitts , W. C. Schieve

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Peter Peldan

Einstein's theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local…

广义相对论与量子宇宙学 · 物理学 2021-04-28 Sung-Sik Lee

A theory which claims to describe all the universe is advanced. It unifies general relativity, quantum field theory, and indeterministic conception. Basic entities are: classical metric tensor $g$, cosmic reference frame (including cosmic…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Vladimir S. Mashkevich

The Einstein-Vlasov equations govern Einstein spacetimes filled with matter which interacts only via gravitation. The matter, described by a distribution function on phase space, evolves under the collisionless Boltzmann equation,…

广义相对论与量子宇宙学 · 物理学 2019-10-29 Lars Andersson , Mikołaj Korzyński

Generalized Einstein relation between the mobility and diffusion in conductors with a large built-in field near the thermodynamic equilibrium has been derived.

材料科学 · 物理学 2010-10-06 S. A. Ktitorov

Einstein's unified field theory is extended by the addition of matter terms in the form of a symmetric energy tensor and of two conserved currents. From the field equations and from the conservation identities emerges the picture of a…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Antoci

A new formalism in general relativity with a linear response relation between perturbed Einstein tensor and the stress-energy tensor is presented. Basic concepts are borrowed from statistical physics and theory of stochastic processes by…

广义相对论与量子宇宙学 · 物理学 2025-07-29 Seema Satin

The hypothesis that the energy-momentum tensor of ordinary matter is not conserved separately, leads to a non-adiabatic expansion and, in many cases, to an Universe older than usual. This may provide a solution for the entropy and age…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. C. Fabris , R. Kerner , J. Tossa