On the super-energy radiative gravitational fields

Ferrando, Joan Josep; Sáez, Juan Antonio

doi:10.1088/0264-9381/30/9/095013

Cited by 6 publications

(17 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, the two Debever directions are ℓ ± ∝ e 0 ± e 1 . From ( 9), (10), and the expression of the Petrov matrix (6) we obtain:…”

Section: If the Weyl Tensor Is Of Type II A Type D Weyl Tensor Takes ...mentioning

confidence: 99%

See 1 more Smart Citation

Obtaining the multiple Debever null directions

Sáez¹,

Mengual²,

Ferrando³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Then, the two Debever directions are ℓ ± ∝ e 0 ± e 1 . From ( 9), (10), and the expression of the Petrov matrix (6) we obtain:…”

Section: If the Weyl Tensor Is Of Type II A Type D Weyl Tensor Takes ...mentioning

confidence: 99%

“…The interest of the Bel-Robinson tensor in analyzing radiative gravitational states has been widely reported (see [6,7,8,9,10] and references therein). Here we use it as a mathematical tool to obtain the fundamental direction of the Bel radiative fields.…”

mentioning

confidence: 99%

Obtaining the multiple Debever null directions

Sáez¹,

Mengual²,

Ferrando³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The first condition in (15) is the definition of the scalar α. The second one follows from (10). The third and the fifth ones come from (13).…”

Section: Algebraic Restrictions and Super-energy Inequalitiesmentioning

confidence: 99%

“…The definition given by García-Parrado is less restrictive than the Bel one and it allows type I radiative gravitational fields [9]. This and other satisfactory properties show the interest of this generalization which claims for a deeper study undertaken elsewhere [10]. In this paper we focus on analyzing Bel's radiative gravitational fields.…”

Section: Intrinsic Super-energy Radiative Gravitational Fieldsmentioning

confidence: 99%

See 1 more Smart Citation

On the Bel radiative gravitational fields

Ferrando

Sáez

2012

Class. Quantum Grav.

Self Cite

View full text Add to dashboard Cite

We analyze the concept of intrinsic radiative gravitational fields defined by Bel and we show that the three radiative types, N, III and II, correspond with the three following different physical situations: pure radiation, asymptotic pure radiation and generic (non pure, non asymptotic pure) radiation. We introduce the concept of observer at rest with respect to the gravitational field and that of proper super-energy of the gravitational field and we show that, for non radiative fields, the minimum value of the relative super-energy density is the proper super-energy density, which is acquired by the observers at rest with respect to the field. Several super-energy inequalities are also examined.

show abstract

Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity

Wylleman

Costa²,

Natário³

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

In electromagnetism, the concept of Poynting vector as measured by an observer is well known. A mathematical analogue in general relativity is the super-Poynting vector of the Weyl tensor. Observers for which the (super-)Poynting vector vanishes are called principal. When, at a given point, the electromagnetic field is non-null, or the gravitational field is of Weyl-Petrov type I or D, principal observers instantaneously passing through that point always exist. We survey characterizations of such observers and study their relation to arbitrary observers. In the non-null electromagnetic case it is known that, given any observer, there is a principal observer which moves relative to the first in the direction of his Poynting vector. Replacing Poynting by super-Poynting yields a possible gravitational analogue; we show that this analogy indeed holds for any observer when the Petrov type is D, but only for a one-dimensional variety of observers when the Petrov type is I. We provide algorithms to obtain the principal observers directly from the electric and magnetic fields (in the electromagnetic case) or electric and magnetic parts of the Weyl tensor (in the gravitational case) relative to an arbitrary observer. It is found that in Petrov type D doubly aligned non-null Einstein-Maxwell fields (which include all classical charged black hole solutions) the Poynting and super-Poynting vectors are aligned, at each point and for each observer, and the principal observers coincide. Our results are illustrated in simple examples.

show abstract

On the super-energy radiative gravitational fields

Cited by 6 publications

References 26 publications

Obtaining the multiple Debever null directions

Obtaining the multiple Debever null directions

On the Bel radiative gravitational fields

Poynting vector, super-Poynting vector, and principal observers in electromagnetism and general relativity

Contact Info

Product

Resources

About