Zobrazeno 1 - 10
of 598
pro vyhledávání: '"35Q75"'
We provide a new proof of the splitting theorems from Lorentzian geometry, in which simplicity is gained by sacrificing linearity of the d'Alembertian to recover ellipticity. We exploit a negative homogeneity (non-uniformly) elliptic $p$-d'Alembert o
Externí odkaz:
http://arxiv.org/abs/2410.12632
Autor:
Singh, Gurpreet
In this article, we consider the singular $p-$biharmonic problem involving Hardy potential and citical Hardy-Sobolev exponent. We study the existence of ground state solutions and least energy sign-changing solutions of the following problem \begin{e
Externí odkaz:
http://arxiv.org/abs/2409.18041
Autor:
Gurriaran, Sebastian
Using a purely physical-space analysis, we prove the precise oscillatory blow-up asymptotics of the spin $+2$ Teukolsky field in the interior of a subextremal Kerr black hole. In particular, this work gives a new proof of the blueshift instability of
Externí odkaz:
http://arxiv.org/abs/2409.02670
Autor:
Chen, Yuanhui, Wang, Qingxuan
In this paper, we consider the nonrelativistic limit of Chandrasekhar variational model for neutron stars. We show that the minimizer $\rho_{c}$ of Chandrasekhar energy $E_c(N)$ converges strongly to the minimizer $\rho_{\infty}$ of limit energy $E_{
Externí odkaz:
http://arxiv.org/abs/2408.16454
Autor:
Beran, Tobias, Braun, Mathias, Calisti, Matteo, Gigli, Nicola, McCann, Robert J., Ohanyan, Argam, Rott, Felix, Sämann, Clemens
We introduce a variational first-order Sobolev calculus on metric measure spacetimes. The key object is the maximal weak subslope of an arbitrary causal function, which plays the role of the (Lorentzian) modulus of its differential. It is shown to sa
Externí odkaz:
http://arxiv.org/abs/2408.15968
We present different proofs of the uniqueness of 4-dimensional static vacuum asymptotically flat spacetimes containing a connected equipotential photon surface or in particular a connected photon sphere. We do not assume that the equipotential photon
Externí odkaz:
http://arxiv.org/abs/2407.21522
The Carrollian fluid equations arise as the $c \to 0$ limit of the relativistic fluid equations and have recently experienced a surge of activity in the flat-space holography community. However, the rigorous mathematical well-posedness theory for the
Externí odkaz:
http://arxiv.org/abs/2407.05972
The Carrollian fluid equations arise from the equations for relativistic fluids in the limit as the speed of light vanishes, and have recently experienced a surge of interest in the theoretical physics community in the context of asymptotic symmetrie
Externí odkaz:
http://arxiv.org/abs/2407.05971
Autor:
Bogdanov, L. V.
We use a recently proposed scheme of matrix extension of dispersionless integrable systems for the Abelian case, in which it leads to linear equations, connected with the initial dispersionless system. In the examples considered, these equations can
Externí odkaz:
http://arxiv.org/abs/2404.18078
Autor:
Le, Pengyu
The constant mass function foliation has been shown useful for studying the null Penrose inequality on a null hypersurface, because of the monotonicity formula of Hawking mass along such a foliation. In this paper, we show the global existence of the
Externí odkaz:
http://arxiv.org/abs/2404.17137