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An analytic extension of the Reissner-Nordstrom solution at and beyond the singularity is presented. The extension is obtained by using new coordinates in which the metric becomes degenerate at $r=0$. The metric is still singular in the new…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Ovidiu Cristinel Stoica

The Newman-Janis algorithm has been widely used to construct rotating black hole solutions from non-rotating counterparts. While this algorithm was developed within General Relativity, it has more recently been applied to non-rotating…

General Relativity and Quantum Cosmology · Physics 2014-01-21 Devin Hansen , Nicolas Yunes

A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian. The constant mean curvature foliation is employed to eliminate the momentum…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Charles H-T Wang

We consider the post-Newtonian limit of a general class of bimetric theories of gravity, in which both metrics are dynamical. The established parameterised post-Newtonian approach is followed as closely as possible, although new potentials…

General Relativity and Quantum Cosmology · Physics 2010-12-07 Timothy Clifton , Máximo Bañados , Constantinos Skordis

Cosmological observables show a dependence with the neutrino mass, which is partially degenerate with parameters of extended models of gravity. We study and explore this degeneracy in Horndeski generalized scalar-tensor theories of gravity.…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-03 Nicola Bellomo , Emilio Bellini , Bin Hu , Raul Jimenez , Carlos Pena-Garay , Licia Verde

Quantum cosmology is studied within the framework of the minimal quantum gravity theory proposed by Ho\v{r}ava. For this purpose we choose the Kantowski-Sachs (KS) model and construct the corresponding Wheeler-DeWitt equation. We study the…

General Relativity and Quantum Cosmology · Physics 2013-05-31 O. Obregón , J. A. Preciado

In the non-metric gravity proposed by K. Krasnov, this is a theory in which the scalar constraint of the Ashtekar's formalism is modified in such way that the cosmological constant is replaced by a cosmological function that depends of the…

General Relativity and Quantum Cosmology · Physics 2024-08-16 Ricardo Rosas-Rodríguez , Iván Cortes-Cruz

We present a new reformulation of the canonical quantum geometrodynamics, which allows to overcome the fundamental problem of the frozen formalism and, therefore, to construct an appropriate Hilbert space associate to the solution of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Simone Mercuri , Giovanni Montani

Denef and Douglas have observed that in certain landscape models the problem of finding small values of the cosmological constant is a large instance of an NP-hard problem. The number of elementary operations (quantum gates) needed to solve…

High Energy Physics - Theory · Physics 2017-11-22 Ning Bao , Raphael Bousso , Stephen Jordan , Brad Lackey

We consider dark energy cosmology in a de Sitter universe filled with quantum conformal matter. Our model represents a Gauss-Bonnet model of gravity with contributions from quantum effects. To the General Relativity action an arbitrary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Iver Brevik , John Quiroga Hurtado

In a recently proposed theory, the cosmological constant (CC) does not curve spacetime in our universe, but instead gets absorbed into another universe endowed with its own dynamical metric, nonlocally coupled to ours. Thus, one achieves a…

High Energy Physics - Theory · Physics 2016-12-07 Gregory Gabadadze , Siqing Yu

We present the general method to introduce the generalized Chern-Simons form and the descent equation which contain the scalar field in addition to the gauge fields. It is based on the technique in a noncommutative differential geometry…

High Energy Physics - Theory · Physics 2008-11-07 Yoshitaka Okumura

The Einstein-Hilbert action with a cosmological constant is the most general local four-dimensional action leading to second-order derivative equations of motion that are symmetric and divergence free. In higher dimensions, additional terms…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Soumya Jana , Charles Dalang , Lucas Lombriser

The most general vacuum solution to Einstein's field equations with no incoming radiation can be constructed perturbatively from two infinite sets of canonical multipole moments, which are found to be mapped into each other under…

High Energy Physics - Theory · Physics 2022-11-07 Geoffrey Compère , Roberto Oliveri , Ali Seraj

We extend the canonical formalism for the motion of $N$-particles in lineal gravity to include charges. Under suitable coordinate conditions and boundary conditions the determining equation of the Hamiltonian (a kind of transcendental…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , D. Robbins , T. Ohta , M. R. Trott

We derive a theory-independent version of the momentum constraint equation for use in cosmology, as a part of the Parameterised Post-Newtonian Cosmology (PPNC) framework. Our equations are constructed by adapting the corresponding…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Theodore Anton , Timothy Clifton

We explore a toy model mechanism of geometric cancellation, alleviating the (classical) cosmological constant problem. To do so, we assume at primordial times that vacuum energy fuels an inflationary quadratic hilltop potential nonminimally…

General Relativity and Quantum Cosmology · Physics 2024-06-12 Alessio Belfiglio , Roberto Giambò , Orlando Luongo

The Cosmological Constant problem can be solved once we require that the full standard Einstein Hilbert lagrangian, gravity plus matter, is multiplied by a total derivative. We analyze such a picture writing the total derivative as the…

General Relativity and Quantum Cosmology · Physics 2009-01-06 Denis Comelli

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional $\mathrm{w_{1+\infty}}$ algebra of soft graviton symmetries is modified in a simple way. The deformed algebra contains a subalgebra…

High Energy Physics - Theory · Physics 2023-12-12 Tomasz R. Taylor , Bin Zhu

We extend the usual gravitational action principle by promoting the bare cosmological constant (CC) from a parameter to a field which can take many possible values. Variation leads to a new integral constraint equation which determines the…

General Relativity and Quantum Cosmology · Physics 2011-03-21 John D. Barrow , Douglas J. Shaw